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9th ICSE 2nd Term Preparation

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9th ICSE 2nd Term Preparation

9th ICSE 2nd Term Preparation by Subject Experts

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4 sections • 107 lectures • 38h 25m total length
Factorisation Part 1 - Lecture 1
Factorisation In this chapter we will discuss about different methods of factorisation When a polynomial (an algebraic expression) is expressed as the product of two or more expressions, each of these expressions is called a factor of the polynomial. The polynomial x² + 5x + 6 can be expressed as the product of the expressions (x + 3) and(x + 2). The process of writing an expression in the form of terms or brackets multiplied together is called factorisation. Each term and each bracket is called a factor of the expression. e.g. 5x² + 15 = 5(x² + 3) METHODS OF FACTORISATION : Type 1: Taking out the common factors : When each term of a given expression contains a common factor, divide each term by this factor and enclose the quotient within brackets, keeping the common factor outside the bracket. Steps: Find the H.C.F. of all the terms of the given expression. For expression 6a² - 3ax, its terms are 6a² and -3ax. Therefore H.C.F. of these terms is 3a. 6a2 - 3ax = 3a 6q² 3a 3ax 3a = 3a (2a - x). Type 2: Grouping An expression of an even number of terms, may be resolved into factors, if the terms are arranged in groups such that each group has a common factor. Steps: 1. Group the terms of the given expression in such a way that each group has a common factor. 2. Factorise each group formed. 3. From each group, obtained in step 2, take out the common factor. Type 3: Trinomial of the form ax² + bx +c (By splitting the middle term) When a trinomial is of the form ax² + bx + c (or a + bx + cx2), split b (the coefficient of x in the middle term) into two parts such that the sum of these two parts is equal to b and the product of these two parts is equal to the product of a and c. Then factorize by the grouping method Type 4: Difference of two squares Since, the product of (x + y) and (x - y) = (x + y) (x - y) = x²-y2 i.e. x² − y² = (x + y) (x − y). Type 5: The sum or difference of two cubes We know, a³ + b³ = (a + b)³-3ab (a + b) a³ - b³ =(a - b)³ + 3ab (a - b) a³+b³ = (a + b) (a² - ab + b²) a³-b³ = (a - b) (a² + ab + b²)
14min
Factorisation Part 2 - Lecture 2
Factorisation In this chapter we will discuss about different methods of factorisation When a polynomial (an algebraic expression) is expressed as the product of two or more expressions, each of these expressions is called a factor of the polynomial. The polynomial x² + 5x + 6 can be expressed as the product of the expressions (x + 3) and(x + 2). The process of writing an expression in the form of terms or brackets multiplied together is called factorisation. Each term and each bracket is called a factor of the expression. e.g. 5x² + 15 = 5(x² + 3) METHODS OF FACTORISATION : Type 1: Taking out the common factors : When each term of a given expression contains a common factor, divide each term by this factor and enclose the quotient within brackets, keeping the common factor outside the bracket. Steps: Find the H.C.F. of all the terms of the given expression. For expression 6a² - 3ax, its terms are 6a² and -3ax. Therefore H.C.F. of these terms is 3a. 6a2 - 3ax = 3a 6q² 3a 3ax 3a = 3a (2a - x). Type 2: Grouping An expression of an even number of terms, may be resolved into factors, if the terms are arranged in groups such that each group has a common factor. Steps: 1. Group the terms of the given expression in such a way that each group has a common factor. 2. Factorise each group formed. 3. From each group, obtained in step 2, take out the common factor. Type 3: Trinomial of the form ax² + bx +c (By splitting the middle term) When a trinomial is of the form ax² + bx + c (or a + bx + cx2), split b (the coefficient of x in the middle term) into two parts such that the sum of these two parts is equal to b and the product of these two parts is equal to the product of a and c. Then factorize by the grouping method Type 4: Difference of two squares Since, the product of (x + y) and (x - y) = (x + y) (x - y) = x²-y2 i.e. x² − y² = (x + y) (x − y). Type 5: The sum or difference of two cubes We know, a³ + b³ = (a + b)³-3ab (a + b) a³ - b³ =(a - b)³ + 3ab (a - b) a³+b³ = (a + b) (a² - ab + b²) a³-b³ = (a - b) (a² + ab + b²)
14min
Factorisation Part 3 - Lecture 3
Factorisation In this chapter we will discuss about different methods of factorisation When a polynomial (an algebraic expression) is expressed as the product of two or more expressions, each of these expressions is called a factor of the polynomial. The polynomial x² + 5x + 6 can be expressed as the product of the expressions (x + 3) and(x + 2). The process of writing an expression in the form of terms or brackets multiplied together is called factorisation. Each term and each bracket is called a factor of the expression. e.g. 5x² + 15 = 5(x² + 3) METHODS OF FACTORISATION : Type 1: Taking out the common factors : When each term of a given expression contains a common factor, divide each term by this factor and enclose the quotient within brackets, keeping the common factor outside the bracket. Steps: Find the H.C.F. of all the terms of the given expression. For expression 6a² - 3ax, its terms are 6a² and -3ax. Therefore H.C.F. of these terms is 3a. 6a2 - 3ax = 3a 6q² 3a 3ax 3a = 3a (2a - x). Type 2: Grouping An expression of an even number of terms, may be resolved into factors, if the terms are arranged in groups such that each group has a common factor. Steps: 1. Group the terms of the given expression in such a way that each group has a common factor. 2. Factorise each group formed. 3. From each group, obtained in step 2, take out the common factor. Type 3: Trinomial of the form ax² + bx +c (By splitting the middle term) When a trinomial is of the form ax² + bx + c (or a + bx + cx2), split b (the coefficient of x in the middle term) into two parts such that the sum of these two parts is equal to b and the product of these two parts is equal to the product of a and c. Then factorize by the grouping method Type 4: Difference of two squares Since, the product of (x + y) and (x - y) = (x + y) (x - y) = x²-y2 i.e. x² − y² = (x + y) (x − y). Type 5: The sum or difference of two cubes We know, a³ + b³ = (a + b)³-3ab (a + b) a³ - b³ =(a - b)³ + 3ab (a - b) a³+b³ = (a + b) (a² - ab + b²) a³-b³ = (a - b) (a² + ab + b²)
12min
Factorisation Part 4 - Lecture 4
Factorisation In this chapter we will discuss about different methods of factorisation When a polynomial (an algebraic expression) is expressed as the product of two or more expressions, each of these expressions is called a factor of the polynomial. The polynomial x² + 5x + 6 can be expressed as the product of the expressions (x + 3) and(x + 2). The process of writing an expression in the form of terms or brackets multiplied together is called factorisation. Each term and each bracket is called a factor of the expression. e.g. 5x² + 15 = 5(x² + 3) METHODS OF FACTORISATION : Type 1: Taking out the common factors : When each term of a given expression contains a common factor, divide each term by this factor and enclose the quotient within brackets, keeping the common factor outside the bracket. Steps: Find the H.C.F. of all the terms of the given expression. For expression 6a² - 3ax, its terms are 6a² and -3ax. Therefore H.C.F. of these terms is 3a. 6a2 - 3ax = 3a 6q² 3a 3ax 3a = 3a (2a - x). Type 2: Grouping An expression of an even number of terms, may be resolved into factors, if the terms are arranged in groups such that each group has a common factor. Steps: 1. Group the terms of the given expression in such a way that each group has a common factor. 2. Factorise each group formed. 3. From each group, obtained in step 2, take out the common factor. Type 3: Trinomial of the form ax² + bx +c (By splitting the middle term) When a trinomial is of the form ax² + bx + c (or a + bx + cx2), split b (the coefficient of x in the middle term) into two parts such that the sum of these two parts is equal to b and the product of these two parts is equal to the product of a and c. Then factorize by the grouping method Type 4: Difference of two squares Since, the product of (x + y) and (x - y) = (x + y) (x - y) = x²-y2 i.e. x² − y² = (x + y) (x − y). Type 5: The sum or difference of two cubes We know, a³ + b³ = (a + b)³-3ab (a + b) a³ - b³ =(a - b)³ + 3ab (a - b) a³+b³ = (a + b) (a² - ab + b²) a³-b³ = (a - b) (a² + ab + b²)
10min
Simultaneous Linear Equations Part 1 - Lecture 5
Simultaneous Linear Equations An equation of the form ax + by + c = 0 is called a linear equation in which a, b and c are constants (real numbers) and x and y are variables each with degree 1 (one). Consider the two linear equations: 3x + 4y = 6 and 8x + 5y = 3. These two equations contain same two variables (x and y in this case). Together such equations are called simultaneous (linear) equations. METHODS OF SOLVING SIMULTANEOUS EQUATIONS To solve two simultaneous linear equations means, to find the values of variables used in the given equations. Out of the different algebraic methods for solving simultaneous equations, we shall be discussing the following three methods only: 1. Method of elimination by substitution. 2. Method of elimination by equating coefficients. 3. Method of cross-multiplication. Type 1 : METHOD OF ELIMINATION BY SUBSTITUTION : Steps: 1. From any of the given two equations, find the value of one variable in terms of the other. 2. Substitute the value of the variable, obtained in step (1), in the other equation and solve it. 3. Substitute the value of the variable obtained in step (2), in the result of step (1) and get the value of the remaining unknown variable. Type 2 : METHOD OF ELIMINATION BY EQUATING COEFFICIENTS Steps: 1. Multiply one or both of the equations by a suitable number or numbers so that either the coefficients of x or the coefficients of y in both the equations become numerically equal. 2. Add both the equations, as obtained in step 1, or subtract one equation from the other, so that the terms with equal numerical coefficients cancel mutually. 3. Solve the resulting equation to find the value of one of the unknowns. 4. Substitute this value in any of the two given equations and find the value of the other unknown. Type 3. Method of cross-multiplication. Please see our lecture In this chapter we wil also discuss about the problem based on simultaneous Equations.
7min
Simultaneous Linear Equation Part 2 - Lecture 6
Simultaneous Linear Equations An equation of the form ax + by + c = 0 is called a linear equation in which a, b and c are constants (real numbers) and x and y are variables each with degree 1 (one). Consider the two linear equations: 3x + 4y = 6 and 8x + 5y = 3. These two equations contain same two variables (x and y in this case). Together such equations are called simultaneous (linear) equations. METHODS OF SOLVING SIMULTANEOUS EQUATIONS To solve two simultaneous linear equations means, to find the values of variables used in the given equations. Out of the different algebraic methods for solving simultaneous equations, we shall be discussing the following three methods only: 1. Method of elimination by substitution. 2. Method of elimination by equating coefficients. 3. Method of cross-multiplication. Type 1 : METHOD OF ELIMINATION BY SUBSTITUTION : Steps: 1. From any of the given two equations, find the value of one variable in terms of the other. 2. Substitute the value of the variable, obtained in step (1), in the other equation and solve it. 3. Substitute the value of the variable obtained in step (2), in the result of step (1) and get the value of the remaining unknown variable. Type 2 : METHOD OF ELIMINATION BY EQUATING COEFFICIENTS Steps: 1. Multiply one or both of the equations by a suitable number or numbers so that either the coefficients of x or the coefficients of y in both the equations become numerically equal. 2. Add both the equations, as obtained in step 1, or subtract one equation from the other, so that the terms with equal numerical coefficients cancel mutually. 3. Solve the resulting equation to find the value of one of the unknowns. 4. Substitute this value in any of the two given equations and find the value of the other unknown. Type 3. Method of cross-multiplication. Please see our lecture In this chapter we wil also discuss about the problem based on simultaneous Equations.
18min
Simultaneous Linear Equations Part 3 - Lecture 7
Simultaneous Linear Equations An equation of the form ax + by + c = 0 is called a linear equation in which a, b and c are constants (real numbers) and x and y are variables each with degree 1 (one). Consider the two linear equations: 3x + 4y = 6 and 8x + 5y = 3. These two equations contain same two variables (x and y in this case). Together such equations are called simultaneous (linear) equations. METHODS OF SOLVING SIMULTANEOUS EQUATIONS To solve two simultaneous linear equations means, to find the values of variables used in the given equations. Out of the different algebraic methods for solving simultaneous equations, we shall be discussing the following three methods only: 1. Method of elimination by substitution. 2. Method of elimination by equating coefficients. 3. Method of cross-multiplication. Type 1 : METHOD OF ELIMINATION BY SUBSTITUTION : Steps: 1. From any of the given two equations, find the value of one variable in terms of the other. 2. Substitute the value of the variable, obtained in step (1), in the other equation and solve it. 3. Substitute the value of the variable obtained in step (2), in the result of step (1) and get the value of the remaining unknown variable. Type 2 : METHOD OF ELIMINATION BY EQUATING COEFFICIENTS Steps: 1. Multiply one or both of the equations by a suitable number or numbers so that either the coefficients of x or the coefficients of y in both the equations become numerically equal. 2. Add both the equations, as obtained in step 1, or subtract one equation from the other, so that the terms with equal numerical coefficients cancel mutually. 3. Solve the resulting equation to find the value of one of the unknowns. 4. Substitute this value in any of the two given equations and find the value of the other unknown. Type 3. Method of cross-multiplication. Please see our lecture In this chapter we wil also discuss about the problem based on simultaneous Equations.
12min
Simultaneous Linear Equations Part 4 - Lecture 8
Simultaneous Linear Equations An equation of the form ax + by + c = 0 is called a linear equation in which a, b and c are constants (real numbers) and x and y are variables each with degree 1 (one). Consider the two linear equations: 3x + 4y = 6 and 8x + 5y = 3. These two equations contain same two variables (x and y in this case). Together such equations are called simultaneous (linear) equations. METHODS OF SOLVING SIMULTANEOUS EQUATIONS To solve two simultaneous linear equations means, to find the values of variables used in the given equations. Out of the different algebraic methods for solving simultaneous equations, we shall be discussing the following three methods only: 1. Method of elimination by substitution. 2. Method of elimination by equating coefficients. 3. Method of cross-multiplication. Type 1 : METHOD OF ELIMINATION BY SUBSTITUTION : Steps: 1. From any of the given two equations, find the value of one variable in terms of the other. 2. Substitute the value of the variable, obtained in step (1), in the other equation and solve it. 3. Substitute the value of the variable obtained in step (2), in the result of step (1) and get the value of the remaining unknown variable. Type 2 : METHOD OF ELIMINATION BY EQUATING COEFFICIENTS Steps: 1. Multiply one or both of the equations by a suitable number or numbers so that either the coefficients of x or the coefficients of y in both the equations become numerically equal. 2. Add both the equations, as obtained in step 1, or subtract one equation from the other, so that the terms with equal numerical coefficients cancel mutually. 3. Solve the resulting equation to find the value of one of the unknowns. 4. Substitute this value in any of the two given equations and find the value of the other unknown. Type 3. Method of cross-multiplication. Please see our lecture In this chapter we wil also discuss about the problem based on simultaneous Equations.
25min
Indices Part 1 - Lecture 9
Indices Here we will discuss about exponents expressions to solve If m is a positive integer, then ax ax ax a----- upto m terms, is written as am; where 'a is called the base and 'm' is called the power (or exponent or index). am is read as a power m' or 'a raised to the power m'. Thus ax ax ax ---- upto 10 terms = a10 [a raised to the power 10] LAWS OF INDICES Ist Law (Product Law): am x an = am+n 2nd Law (Quotient Law): am / an = am-n 3rd Law (Power Law) : (am)" = amn HANDLING POSITIVE, FRACTIONAL, NEGATIVE AND ZERO INDICE SOLVING EXPONENTIAL EQUATIONS For solving an exponential equation, express both of its sides into terms with the same base. Then the exponents on both the sides of the equation are equal. i.e. if am = an ⇒ m = n.
13min
Indices Part 2 - Lecture 10
Indices Here we will discuss about exponents expressions to solve If m is a positive integer, then ax ax ax a----- upto m terms, is written as am; where 'a is called the base and 'm' is called the power (or exponent or index). am is read as a power m' or 'a raised to the power m'. Thus ax ax ax ---- upto 10 terms = a10 [a raised to the power 10] LAWS OF INDICES Ist Law (Product Law): am x an = am+n 2nd Law (Quotient Law): am / an = am-n 3rd Law (Power Law) : (am)" = amn HANDLING POSITIVE, FRACTIONAL, NEGATIVE AND ZERO INDICE SOLVING EXPONENTIAL EQUATIONS For solving an exponential equation, express both of its sides into terms with the same base. Then the exponents on both the sides of the equation are equal. i.e. if am = an ⇒ m = n.
16min
Indices Part 3 - Lecture 11
Indices Here we will discuss about exponents expressions to solve If m is a positive integer, then ax ax ax a----- upto m terms, is written as am; where 'a is called the base and 'm' is called the power (or exponent or index). am is read as a power m' or 'a raised to the power m'. Thus ax ax ax ---- upto 10 terms = a10 [a raised to the power 10] LAWS OF INDICES Ist Law (Product Law): am x an = am+n 2nd Law (Quotient Law): am / an = am-n 3rd Law (Power Law) : (am)" = amn HANDLING POSITIVE, FRACTIONAL, NEGATIVE AND ZERO INDICE SOLVING EXPONENTIAL EQUATIONS For solving an exponential equation, express both of its sides into terms with the same base. Then the exponents on both the sides of the equation are equal. i.e. if am = an ⇒ m = n.
11min
Indices Part 4 - Lecture 12
Indices Here we will discuss about exponents expressions to solve If m is a positive integer, then ax ax ax a----- upto m terms, is written as am; where 'a is called the base and 'm' is called the power (or exponent or index). am is read as a power m' or 'a raised to the power m'. Thus ax ax ax ---- upto 10 terms = a10 [a raised to the power 10] LAWS OF INDICES Ist Law (Product Law): am x an = am+n 2nd Law (Quotient Law): am / an = am-n 3rd Law (Power Law) : (am)" = amn HANDLING POSITIVE, FRACTIONAL, NEGATIVE AND ZERO INDICE SOLVING EXPONENTIAL EQUATIONS For solving an exponential equation, express both of its sides into terms with the same base. Then the exponents on both the sides of the equation are equal. i.e. if am = an ⇒ m = n.
14min
Mid-Point Theorem & its Convert Part 1 - Lecture 13
Mid Point theorem and its converse The midpoint theorem states that the line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side. The converse of Mid Point Theorem The converse of the midpoint theorem states that if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side.
27min
Mid-Point Theorem & its Convert Part 2 - Lecture 14
Mid Point theorem and its converse The midpoint theorem states that the line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side. The converse of Mid Point Theorem The converse of the midpoint theorem states that if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side.
35min
Mid-Point Theorem & its Convert Part 3 - Lecture 15
Mid Point theorem and its converse The midpoint theorem states that the line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side. The converse of Mid Point Theorem The converse of the midpoint theorem states that if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side.
20min
Mid-Point Theorem & its Convert Part 4 - Lecture 16
Mid Point theorem and its converse The midpoint theorem states that the line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side. The converse of Mid Point Theorem The converse of the midpoint theorem states that if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side.
26min
Mid-Point Theorem & its Convert Part 5 - Lecture 17
Mid Point theorem and its converse The midpoint theorem states that the line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side. The converse of Mid Point Theorem The converse of the midpoint theorem states that if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side.
23min
Mid-Point Theorem & its Convert Part 6 - Lecture 18
Mid Point theorem and its converse The midpoint theorem states that the line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side. The converse of Mid Point Theorem The converse of the midpoint theorem states that if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side.
21min
Pythagorus Theorem Part 1 - Lecture 19
Pythagoras Theorem Pythagoras Theorem Statement Pythagoras theorem states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called Pythagorean triple. Pythagoras Theorem Formula: Consider the triangle Where “a” is the perpendicular, “b” is the base, “c” is the hypotenuse. According to the definition, the Pythagoras Theorem formula is given as: Hypotenuse2 = Perpendicular2 + Base2 c2 = a2 + b2
16min
Pythagorus Theorem Part 2 - Lecture 20
Pythagoras Theorem Pythagoras Theorem Statement Pythagoras theorem states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called Pythagorean triple. Pythagoras Theorem Formula: Consider the triangle Where “a” is the perpendicular, “b” is the base, “c” is the hypotenuse. According to the definition, the Pythagoras Theorem formula is given as: Hypotenuse2 = Perpendicular2 + Base2 c2 = a2 + b2
15min
Pythagorus Theorem Part 3 - Lecture 21
Pythagoras Theorem Pythagoras Theorem Statement Pythagoras theorem states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called Pythagorean triple. Pythagoras Theorem Formula: Consider the triangle Where “a” is the perpendicular, “b” is the base, “c” is the hypotenuse. According to the definition, the Pythagoras Theorem formula is given as: Hypotenuse2 = Perpendicular2 + Base2 c2 = a2 + b2
15min
Pythagorus Theorem Part 4 - Lecture 22
Pythagoras Theorem Pythagoras Theorem Statement Pythagoras theorem states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called Pythagorean triple. Pythagoras Theorem Formula: Consider the triangle Where “a” is the perpendicular, “b” is the base, “c” is the hypotenuse. According to the definition, the Pythagoras Theorem formula is given as: Hypotenuse2 = Perpendicular2 + Base2 c2 = a2 + b2
16min
Pythagorus Theorem Part 5 - Lecture 23
Pythagoras Theorem Pythagoras Theorem Statement Pythagoras theorem states that In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called Pythagorean triple. Pythagoras Theorem Formula: Consider the triangle Where “a” is the perpendicular, “b” is the base, “c” is the hypotenuse. According to the definition, the Pythagoras Theorem formula is given as: Hypotenuse2 = Perpendicular2 + Base2 c2 = a2 + b2
17min
Rectlinear Figures Part 1 - Lecture 24
Rectilinear Figures What is a rectilinear figure? Rectilinear means along a straight line or in a straight line or forming a straight line. Basically, it is a plane figure bounded by line segments. Polygon Polygon is a closed rectilinear figure. The line segments by which it is bounded are called its sides, the points of intersection of consecutive sides are called its vertices, and the angle formed by the intersection of two consecutive sides is called an interior angle or simply an angle. Quadrilaterals A quadrilateral can be defined as a closed, two-dimensional shape that has four straight sides. Concave and Convex Polygons: We know that each side of a polygon is connected by two consecutive vertices of the polygon.A diagonal is a line segment that connects the non-consecutive vertices of a polygon.If a diagonal lies outside a polygon, then the polygon is called a concave polygon.If all the diagonals lie inside the polygon, then the polygon is said to be a convex polygon. Regular and Irregular Polygons: A regular polygon is equiangular and equilateral. The word equiangular means, the interior angles of the polygon are equal to one another. The word equilateral means, the lengths of the sides are equal to one another. The polygon with unequal sides and unequal angles is called an irregular polygon. Quadrilaterals: A quadrilateral can be defined as a closed, two-dimensional shape which has four straight sides. Here we will discuss Special kinds of Quadrilaterals and their Properties.
28min
Rectlinear Figures Part 2 - Lecture 25
Rectilinear Figures What is a rectilinear figure? Rectilinear means along a straight line or in a straight line or forming a straight line. Basically, it is a plane figure bounded by line segments. Polygon Polygon is a closed rectilinear figure. The line segments by which it is bounded are called its sides, the points of intersection of consecutive sides are called its vertices, and the angle formed by the intersection of two consecutive sides is called an interior angle or simply an angle. Quadrilaterals A quadrilateral can be defined as a closed, two-dimensional shape that has four straight sides. Concave and Convex Polygons: We know that each side of a polygon is connected by two consecutive vertices of the polygon.A diagonal is a line segment that connects the non-consecutive vertices of a polygon.If a diagonal lies outside a polygon, then the polygon is called a concave polygon.If all the diagonals lie inside the polygon, then the polygon is said to be a convex polygon. Regular and Irregular Polygons: A regular polygon is equiangular and equilateral. The word equiangular means, the interior angles of the polygon are equal to one another. The word equilateral means, the lengths of the sides are equal to one another. The polygon with unequal sides and unequal angles is called an irregular polygon. Quadrilaterals: A quadrilateral can be defined as a closed, two-dimensional shape which has four straight sides. Here we will discuss Special kinds of Quadrilaterals and their Properties.
22min
Rectlinear Figures Part 3 - Lecture 26
Rectilinear Figures What is a rectilinear figure? Rectilinear means along a straight line or in a straight line or forming a straight line. Basically, it is a plane figure bounded by line segments. Polygon Polygon is a closed rectilinear figure. The line segments by which it is bounded are called its sides, the points of intersection of consecutive sides are called its vertices, and the angle formed by the intersection of two consecutive sides is called an interior angle or simply an angle. Quadrilaterals A quadrilateral can be defined as a closed, two-dimensional shape that has four straight sides. Concave and Convex Polygons: We know that each side of a polygon is connected by two consecutive vertices of the polygon.A diagonal is a line segment that connects the non-consecutive vertices of a polygon.If a diagonal lies outside a polygon, then the polygon is called a concave polygon.If all the diagonals lie inside the polygon, then the polygon is said to be a convex polygon. Regular and Irregular Polygons: A regular polygon is equiangular and equilateral. The word equiangular means, the interior angles of the polygon are equal to one another. The word equilateral means, the lengths of the sides are equal to one another. The polygon with unequal sides and unequal angles is called an irregular polygon. Quadrilaterals: A quadrilateral can be defined as a closed, two-dimensional shape which has four straight sides. Here we will discuss Special kinds of Quadrilaterals and their Properties.
19min
Circles Part 1 - Lecture 27
In this chapter we will discuss about Circle properties and chord properties as well as theorem related with them . We will also discuss about Arc and Chord Properties together. And also find the angle subtended by each arm of n – side of regular polygon inscribe in circle at the centre of circle by using formula 360® /n
21min
Circles Part 2 - Lecture 28
In this chapter we will discuss about Circle properties and chord properties as well as theorem related with them . We will also discuss about Arc and Chord Properties together. And also find the angle subtended by each arm of n – side of regular polygon inscribe in circle at the centre of circle by using formula 360® /n
20min
Circles Part 3 - Lecture 29
In this chapter we will discuss about Circle properties and chord properties as well as theorem related with them . We will also discuss about Arc and Chord Properties together. And also find the angle subtended by each arm of n – side of regular polygon inscribe in circle at the centre of circle by using formula 360® /n
24min
Circles Part 4 - Lecture 30
In this chapter we will discuss about Circle properties and chord properties as well as theorem related with them . We will also discuss about Arc and Chord Properties together. And also find the angle subtended by each arm of n – side of regular polygon inscribe in circle at the centre of circle by using formula 360® /n
26min
Circles Part 5 - Lecture 31
In this chapter we will discuss about Circle properties and chord properties as well as theorem related with them . We will also discuss about Arc and Chord Properties together. And also find the angle subtended by each arm of n – side of regular polygon inscribe in circle at the centre of circle by using formula 360® /n
26min
Circles Part 6 - Lecture 32
In this chapter we will discuss about Circle properties and chord properties as well as theorem related with them . We will also discuss about Arc and Chord Properties together. And also find the angle subtended by each arm of n – side of regular polygon inscribe in circle at the centre of circle by using formula 360® /n
13min
Circles Part 7 - Lecture 33
In this chapter we will discuss about Circle properties and chord properties as well as theorem related with them . We will also discuss about Arc and Chord Properties together. And also find the angle subtended by each arm of n – side of regular polygon inscribe in circle at the centre of circle by using formula 360® /n
21min
Circles Part 8 - Lecture 34
In this chapter we will discuss about Circle properties and chord properties as well as theorem related with them . We will also discuss about Arc and Chord Properties together. And also find the angle subtended by each arm of n – side of regular polygon inscribe in circle at the centre of circle by using formula 360® /n
16min
Statistics Part 1 - Lecture 35
The word Statistics came into existence towards the middle of the eighteenth century. It seems to have been derived from the Latin word 'Status' or the Italian word 'Statista' or the German word 'Statistik'; each of which means a Political State'. Statistics is a branch of mathematics that is concerned with how information is collected, organized, presented, summarized and then analyzed so the conclusions may be drawn from the information. Statistics is used in two different senses singular and plural. When used as singular, it refers to the whole subject as a branch of knowledge which deals with statistical principles and methods used in collecting, analysing and interpreting data. When used as plural, it refers to the numerical data, collected in a systematic manner, with some definite object in view, in any field of enquiry Here we will also discuss about Graphical Representation of Data with the help of Histogram , Frequency polygon with using histogram , , Frequency polygon without using histogram.
22min
Statistics part 2 - Lecture -36
The word Statistics came into existence towards the middle of the eighteenth century. It seems to have been derived from the Latin word 'Status' or the Italian word 'Statista' or the German word 'Statistik'; each of which means a Political State'. Statistics is a branch of mathematics that is concerned with how information is collected, organized, presented, summarized and then analyzed so the conclusions may be drawn from the information. Statistics is used in two different senses singular and plural. When used as singular, it refers to the whole subject as a branch of knowledge which deals with statistical principles and methods used in collecting, analysing and interpreting data. When used as plural, it refers to the numerical data, collected in a systematic manner, with some definite object in view, in any field of enquiry Here we will also discuss about Graphical Representation of Data with the help of Histogram , Frequency polygon with using histogram , , Frequency polygon without using histogram.
17min
Statistics part 3 - Lecture 37
The word Statistics came into existence towards the middle of the eighteenth century. It seems to have been derived from the Latin word 'Status' or the Italian word 'Statista' or the German word 'Statistik'; each of which means a Political State'. Statistics is a branch of mathematics that is concerned with how information is collected, organized, presented, summarized and then analyzed so the conclusions may be drawn from the information. Statistics is used in two different senses singular and plural. When used as singular, it refers to the whole subject as a branch of knowledge which deals with statistical principles and methods used in collecting, analysing and interpreting data. When used as plural, it refers to the numerical data, collected in a systematic manner, with some definite object in view, in any field of enquiry Here we will also discuss about Graphical Representation of Data with the help of Histogram , Frequency polygon with using histogram , , Frequency polygon without using histogram.
21min
Mean -Median Mode Part 1 - Lecture 38
Here In this chapter we will discuss about mean of ungrouped data and their properties based on four fundamental operations And median of ungrouped for even number of terms as well as for odd number of terms.
27min
Mean -Median Mode Part 2 - Lecture 39
Here In this chapter we will discuss about mean of ungrouped data and their properties based on four fundamental operations And median of ungrouped for even number of terms as well as for odd number of terms.
18min
Mean -Median Mode Part 3 - Lecture 40
Here In this chapter we will discuss about mean of ungrouped data and their properties based on four fundamental operations And median of ungrouped for even number of terms as well as for odd number of terms.
24min
Area & Perimeter - Part 1 - Lecture 41
Here in this chapter we will find the area and perimeter of plane figures like Triangle , Quadrilaterals We will also discuss about the Area and Circumference of Circle and we will also discuss about some mix questions in which combination is involved like where we require area of square and circle to calculate remaining area.
18min
Area & Perimeter - Part 2 - Lecture 42
Here in this chapter we will find the area and perimeter of plane figures like Triangle , Quadrilaterals We will also discuss about the Area and Circumference of Circle and we will also discuss about some mix questions in which combination is involved like where we require area of square and circle to calculate remaining area.
23min
Area & Perimeter - Part 3 - Lecture 43
Here in this chapter we will find the area and perimeter of plane figures like Triangle , Quadrilaterals We will also discuss about the Area and Circumference of Circle and we will also discuss about some mix questions in which combination is involved like where we require area of square and circle to calculate remaining area.
19min
Area & Perimeter - Part 4 - Lecture 44
Here in this chapter we will find the area and perimeter of plane figures like Triangle , Quadrilaterals We will also discuss about the Area and Circumference of Circle and we will also discuss about some mix questions in which combination is involved like where we require area of square and circle to calculate remaining area.
29min
Area & Perimeter - Part 5 - Lecture 45
Here in this chapter we will find the area and perimeter of plane figures like Triangle , Quadrilaterals We will also discuss about the Area and Circumference of Circle and we will also discuss about some mix questions in which combination is involved like where we require area of square and circle to calculate remaining area.
19min
Solids - Part 1 - Lecture 46
Here in this chapter we will discuss about Surface area and volume of three – dimensional figures like cube , cuboids by using different formulas. Also we will discuss about Area of Cross- Section and Flow of Liquid
28min
Solids Part 2 - Lecture 47
Here in this chapter we will discuss about Surface area and volume of three – dimensional figures like cube , cuboids by using different formulas. Also we will discuss about Area of Cross- Section and Flow of Liquid
23min
Solids Part 3 - Lecture - 48
Here in this chapter we will discuss about Surface area and volume of three – dimensional figures like cube , cuboids by using different formulas. Also we will discuss about Area of Cross- Section and Flow of Liquid
24min
Trigonometrical Ratios part 1 - Lecture 49
Here we will discuss about concept of perpendicular ,base , Hypotenuse in right Triangle , Notation of Angles , Trigonomertrical ratios like Sin , cos , tan etc. How you can remember these ratios and can find different values for given problems or when one ratio is given to find remaining trigonomertrical ratio.
22min
Trigonometrical Ratios part 2 - Lecture 50
Here we will discuss about concept of perpendicular ,base , Hypotenuse in right Triangle , Notation of Angles , Trigonomertrical ratios like Sin , cos , tan etc. How you can remember these ratios and can find different values for given problems or when one ratio is given to find remaining trigonomertrical ratio.
17min
Trigonometrical Ratios part 3 - Lecture 51
Here we will discuss about concept of perpendicular ,base , Hypotenuse in right Triangle , Notation of Angles , Trigonomertrical ratios like Sin , cos , tan etc. How you can remember these ratios and can find different values for given problems or when one ratio is given to find remaining trigonomertrical ratio.
23min
Trigonometrical Ratios part 4 - Lecture 52
Here we will discuss about concept of perpendicular ,base , Hypotenuse in right Triangle , Notation of Angles , Trigonomertrical ratios like Sin , cos , tan etc. How you can remember these ratios and can find different values for given problems or when one ratio is given to find remaining trigonomertrical ratio.
24min
Trigonometrical Ratios of Standard Angles Part 1 - Lecture 53
Here we will discuss about concept of perpendicular ,base , Hypotenuse in right Triangle , Notation of Angles , Trigonomertrical ratios like Sin , cos , tan etc. and their standard angles values How you can remember these standard angle values and can find different values for given problems or when one ratio is given to solve trigonomertrical equations.
24min
Trigonometrical Ratios of Standard Angles Part 2 - Lecture 54
Here we will discuss about concept of perpendicular ,base , Hypotenuse in right Triangle , Notation of Angles , Trigonomertrical ratios like Sin , cos , tan etc. and their standard angles values How you can remember these standard angle values and can find different values for given problems or when one ratio is given to solve trigonomertrical equations.
13min
Trigonometrical Ratios of Standard Angles Part 3 - Lecture 55
Here we will discuss about concept of perpendicular ,base , Hypotenuse in right Triangle , Notation of Angles , Trigonomertrical ratios like Sin , cos , tan etc. and their standard angles values How you can remember these standard angle values and can find different values for given problems or when one ratio is given to solve trigonomertrical equations.
18min
Solution of Right Triangles - Part 1 -Lecture 56
Here we will discuss about concept of perpendicular ,base , Hypotenuse in right Triangle , Notation of Angles , Trigonomertrical ratios like Sin , cos , tan etc. and their standard angles values How you can remember these standard angle values and can find different values for given problems or when one ratio is given to solve trigonomertrical equations. And Here with the help of above said concept we will solve Simple 2-D Problems Involving One Right- angled Triangle
30min
Solution of Right Triangles - Part 2 -Lecture 57
Here we will discuss about concept of perpendicular ,base , Hypotenuse in right Triangle , Notation of Angles , Trigonomertrical ratios like Sin , cos , tan etc. and their standard angles values How you can remember these standard angle values and can find different values for given problems or when one ratio is given to solve trigonomertrical equations. And Here with the help of above said concept we will solve Simple 2-D Problems Involving One Right- angled Triangle
19min
Complementary Angles Part 1 -Lecture 58
Here we will discuss about concept of perpendicular ,base , Hypotenuse in right Triangle , Notation of Angles , Trigonomertrical ratios like Sin , cos , tan etc. and their standard angles values Here we will mainly discuss the Concept of Trigonometric Ratio Of Complementary Angles how these ratios are convertible to each other.
19min
Complementary Angles Part 2 -Lecture 59
Here we will discuss about concept of perpendicular ,base , Hypotenuse in right Triangle , Notation of Angles , Trigonomertrical ratios like Sin , cos , tan etc. and their standard angles values Here we will mainly discuss the Concept of Trigonometric Ratio Of Complementary Angles how these ratios are convertible to each other.
14min
Graphical Solutions part 1 - Lecture 60
Here we will discuss about Graphs of Linear Equations in two Variables. We will also discuss about to find linear equation. And Solution of Simultaneous Linear Equations Graphically. We will also learn how we can draw graphs when different conditions are given and how to find the Area and Perimeter of different figures under different conditions.
29min
Graphical Solutions part 2 - Lecture 61
Here we will discuss about Graphs of Linear Equations in two Variables. We will also discuss about to find linear equation. And Solution of Simultaneous Linear Equations Graphically. We will also learn how we can draw graphs when different conditions are given and how to find the Area and Perimeter of different figures under different conditions.
24min
Distance Formula part 1 - Lecture 62
Here we will discuss about for any two known (given) points in a co-ordinate (Cartesian) plane, the knowledge of co-ordinate geometry may be used to find : (a) the distance between the given points. (b) the co-ordinates of a point which divides the line joining the given points in a given ratio. (c) the co-ordinates of the mid-point of the line segment joining the two given points. (d) equation of the straight line through the given points etc. And we will also learn how we can show that given quadrilateral is a parallelogram, rectangle, rhombus etc. and also same for Right Triangle, Isosceles Triangle etc.
28min
Distance Formula Part 2 - Lecture 63
Here we will discuss about for any two known (given) points in a co-ordinate (Cartesian) plane, the knowledge of co-ordinate geometry may be used to find : (a) the distance between the given points. (b) the co-ordinates of a point which divides the line joining the given points in a given ratio. (c) the co-ordinates of the mid-point of the line segment joining the two given points. (d) equation of the straight line through the given points etc. And we will also learn how we can show that given quadrilateral is a parallelogram, rectangle, rhombus etc. and also same for Right Triangle, Isosceles Triangle etc.
26min
Heat - Lecture 1
SUMMARY 1. Heat is a form of energy that flows between a body and its surrounding medium by virtue of temperature difference between them. The degree of hotness of the body is quantitatively represented by temperature. 2. A temperature-measuring device (thermometer) makes use of some measurable property (called thermometric property) that changes with temperature. Different thermometers lead to different temperature scales. To construct a temperature scale, two fixed points are chosen and assigned some arbitrary values of temperature. The two numbers fix the origin of the scale and the size of its unit. 3. The Celsius temperature (tC ) and the Fahrenheit temper are (tF )are related by tF = (9/5) tC + 32 4. The ideal gas equation connecting pressure (P), volume (V) and absolute temperature (T) is : PV = µRT where µ is the number of moles and R is the universal gas constant. 5. In the absolute temperature scale, the zero of the scale corresponds to the temperature where every substance in nature has the least possible molecular activity. The Kelvin absolute temperature scale (T ) has the same unit size as the Celsius scale (T2 ), but differs in the origin : TC = T – 273.15 6. The coefficient of linear expansion (αl ) and volume expansion (αv) are defined by the relations : ∆l/l = αl ∆T ∆V/V = αv ∆T where ∆l and ∆V denote the change in length l and volume V for a change of temperature ∆T. The relation between them is : αv = 3 αl 7. The specific heat capacity of a substance is defined by S = 1/m ∆Q/∆T where m is the mass of the substance and ∆Q is the heat required to change its temperature by ∆T. The molar specific heat capacity of a substance is defined by S = 1/(µ ) ∆Q/∆T where µ is the number of moles of the substance. 8. The latent heat of fusion (Lf ) is the heat per unit mass required to change a substance from solid into liquid at the same temperature and pressure. The latent heat of vaporisation (Lv) is the heat per unit mass required to change a substance from liquid to the vapour state without change in the temperature and pressure. 9. The three modes of heat transfer are conduction, convection and radiation. 10. In conduction, heat is transferred between neighbouring parts of a body through molecular collisions, without any flow of matter. For a bar of length L and uniform cross section A with its ends maintained at temperatures T_C and T_Dthe rate of flow of heat H is : H = K A (T_C- T_D)/L where K is the thermal conductivity of the material of the bar. 11. Newton’s Law of Cooling says that the rate of cooling of a body is proportional to the excess temperature of the body over the surroundings : dQ/dt= -k (T_1- T_2) Where T_1 is the temperature of the surrounding medium and T_2 is the temperature of the body.
17min
Light Part 1 - Lecture 2
 Light is a form of energy which produces the sensation of sight.  Speed of light in vacuum / air = 3 × 108 ms–1  Ray of light : A line drawn in the direction of propagation of light is called ray of light.  Beam of light : A group of parallel rays light emitted by a source of light is called beam of light.  Reflection of light : The phenomenon of returning of light in the same medium after striking a surface is called reflection of light.  Laws of reflection : The reflection of light from a surface obeys certain laws called laws of reflection. (i) incident angle is equal to reflected angle i.e. i = r. (ii) Incident ray, reflected ray and normal to the reflecting surface at the point on incident lie in the same plane.  Concave mirror : concave mirror is a part of a hollow sphere whose outer part is silvered and the inner part is reflecting surface.  Convex mirror : convex mirror is a part of a hollow sphere whose outer part is reflecting surface and inner part is silvered.  Centre of curvature : The centre of a hollow sphere of which the spherical mirror forms a part is called centre of curvature. It is denoted by C  Radius of curvature : The radius of a hollow sphere of which the spherical mirror forms a part is called radius of curvature. It is denoted by R  Pole : The mid point of a spherical mirror is called its pole. It is denoted by P  Aperture: The part of spherical mirror exposed to the incident light is called the aperture of the mirror.  Principal Axis: A line joining the centre of curvature (C) and pole (P) of a spherical mirror and extend on either side is called principal axis of the spherical mirror.  Principal Focus : A point on the principal axis of a spherical mirror where the rays of light parallel to the principal axis meet or appears to meet after reflection from the spherical mirror is called principal focus. It is denoted by F.  Focal Plane : A plane normal or perpendicular to the principal axis and passing through the principal focus (F) of the spherical mirror is called focal plane of the spherical mirror.  Focal length (f): The distance between the pole (P) and the principal focus (F) of a spherical mirror is called the focal length of the spherical mirror.  f = , Where R is the radius of the curvature of the mirror.  Focal length and radius of curvature of a concave mirror are negative.  Focal length and radius of curvature of a convex mirror are positive.  Sign Conventions for reflection by spherical mirrors (1) All distance are measured from the pole of a spherical mirror. (2) Distance measured in the direction of incident light are taken as positive. Distance measured in the direction opposite to that of the incident light are taken negative. (3) The upward distance perpendicular to the principal axis are taken as positive, while the downward distance perpendicular to the principal axis are taken as negative.  Radius of curvature plane mirror =  ( infinite)  Focal length of a plane mirror =   Mirror Formula : The relation between u, v, and focal length (f) of a spherical mirror is known as mirror formula. That is  Linear magnification : Linear magnification produced by a mirror is defined as the ratio of the size ( or height) of the image to the size of the object . It is denoted by m. That is  Power of mirror (P) = =  Linear magnification produced by a plane mirror = + 1.  Refraction of light: The bending of light rays when they pass obsessively from one medium to the other medium is called refraction of light .  A transparent medium through which light travels fast is known as optically rarer medium.  A transparent medium through which light travels slow is known as optically denser medium.  Laws of refraction (i) The incident ray, the refracted ray and the normal to the surface separating two media all lie in the same plane. (ii) The ratio of the sine of the incident angle (i) to the sine of the refracted angle (r) is constant i.e. sin i/ sin r = constant This constant is known as the refractive index of second medium w.r.t the first medium.  Absolute refractive index of a medium is defined as the ratio of the speed of light in vacuum (c) to the speed of light in the medium (v) i.e. n = c / v  Relative refractive index of medium. 2 w.r.t. the medium 1 is defined as the ratio of the speed of light in medium 1 (v1) to the speed of light in medium 2 (v2). i.e. n21= v2 / v1
32min
Light Part 2 - Lecture 3
 Light is a form of energy which produces the sensation of sight.  Speed of light in vacuum / air = 3 × 108 ms–1  Ray of light : A line drawn in the direction of propagation of light is called ray of light.  Beam of light : A group of parallel rays light emitted by a source of light is called beam of light.  Reflection of light : The phenomenon of returning of light in the same medium after striking a surface is called reflection of light.  Laws of reflection : The reflection of light from a surface obeys certain laws called laws of reflection. (i) incident angle is equal to reflected angle i.e. i = r. (ii) Incident ray, reflected ray and normal to the reflecting surface at the point on incident lie in the same plane.  Concave mirror : concave mirror is a part of a hollow sphere whose outer part is silvered and the inner part is reflecting surface.  Convex mirror : convex mirror is a part of a hollow sphere whose outer part is reflecting surface and inner part is silvered.  Centre of curvature : The centre of a hollow sphere of which the spherical mirror forms a part is called centre of curvature. It is denoted by C  Radius of curvature : The radius of a hollow sphere of which the spherical mirror forms a part is called radius of curvature. It is denoted by R  Pole : The mid point of a spherical mirror is called its pole. It is denoted by P  Aperture: The part of spherical mirror exposed to the incident light is called the aperture of the mirror.  Principal Axis: A line joining the centre of curvature (C) and pole (P) of a spherical mirror and extend on either side is called principal axis of the spherical mirror.  Principal Focus : A point on the principal axis of a spherical mirror where the rays of light parallel to the principal axis meet or appears to meet after reflection from the spherical mirror is called principal focus. It is denoted by F.  Focal Plane : A plane normal or perpendicular to the principal axis and passing through the principal focus (F) of the spherical mirror is called focal plane of the spherical mirror.  Focal length (f): The distance between the pole (P) and the principal focus (F) of a spherical mirror is called the focal length of the spherical mirror.  f = , Where R is the radius of the curvature of the mirror.  Focal length and radius of curvature of a concave mirror are negative.  Focal length and radius of curvature of a convex mirror are positive.  Sign Conventions for reflection by spherical mirrors (1) All distance are measured from the pole of a spherical mirror. (2) Distance measured in the direction of incident light are taken as positive. Distance measured in the direction opposite to that of the incident light are taken negative. (3) The upward distance perpendicular to the principal axis are taken as positive, while the downward distance perpendicular to the principal axis are taken as negative.  Radius of curvature plane mirror =  ( infinite)  Focal length of a plane mirror =   Mirror Formula : The relation between u, v, and focal length (f) of a spherical mirror is known as mirror formula. That is  Linear magnification : Linear magnification produced by a mirror is defined as the ratio of the size ( or height) of the image to the size of the object . It is denoted by m. That is  Power of mirror (P) = =  Linear magnification produced by a plane mirror = + 1.  Refraction of light: The bending of light rays when they pass obsessively from one medium to the other medium is called refraction of light .  A transparent medium through which light travels fast is known as optically rarer medium.  A transparent medium through which light travels slow is known as optically denser medium.  Laws of refraction (i) The incident ray, the refracted ray and the normal to the surface separating two media all lie in the same plane. (ii) The ratio of the sine of the incident angle (i) to the sine of the refracted angle (r) is constant i.e. sin i/ sin r = constant This constant is known as the refractive index of second medium w.r.t the first medium.  Absolute refractive index of a medium is defined as the ratio of the speed of light in vacuum (c) to the speed of light in the medium (v) i.e. n = c / v  Relative refractive index of medium. 2 w.r.t. the medium 1 is defined as the ratio of the speed of light in medium 1 (v1) to the speed of light in medium 2 (v2). i.e. n21= v2 / v1
17min
Light Part 3 - Lecture 4
 Light is a form of energy which produces the sensation of sight.  Speed of light in vacuum / air = 3 × 108 ms–1  Ray of light : A line drawn in the direction of propagation of light is called ray of light.  Beam of light : A group of parallel rays light emitted by a source of light is called beam of light.  Reflection of light : The phenomenon of returning of light in the same medium after striking a surface is called reflection of light.  Laws of reflection : The reflection of light from a surface obeys certain laws called laws of reflection. (i) incident angle is equal to reflected angle i.e. i = r. (ii) Incident ray, reflected ray and normal to the reflecting surface at the point on incident lie in the same plane.  Concave mirror : concave mirror is a part of a hollow sphere whose outer part is silvered and the inner part is reflecting surface.  Convex mirror : convex mirror is a part of a hollow sphere whose outer part is reflecting surface and inner part is silvered.  Centre of curvature : The centre of a hollow sphere of which the spherical mirror forms a part is called centre of curvature. It is denoted by C  Radius of curvature : The radius of a hollow sphere of which the spherical mirror forms a part is called radius of curvature. It is denoted by R  Pole : The mid point of a spherical mirror is called its pole. It is denoted by P  Aperture: The part of spherical mirror exposed to the incident light is called the aperture of the mirror.  Principal Axis: A line joining the centre of curvature (C) and pole (P) of a spherical mirror and extend on either side is called principal axis of the spherical mirror.  Principal Focus : A point on the principal axis of a spherical mirror where the rays of light parallel to the principal axis meet or appears to meet after reflection from the spherical mirror is called principal focus. It is denoted by F.  Focal Plane : A plane normal or perpendicular to the principal axis and passing through the principal focus (F) of the spherical mirror is called focal plane of the spherical mirror.  Focal length (f): The distance between the pole (P) and the principal focus (F) of a spherical mirror is called the focal length of the spherical mirror.  f = , Where R is the radius of the curvature of the mirror.  Focal length and radius of curvature of a concave mirror are negative.  Focal length and radius of curvature of a convex mirror are positive.  Sign Conventions for reflection by spherical mirrors (1) All distance are measured from the pole of a spherical mirror. (2) Distance measured in the direction of incident light are taken as positive. Distance measured in the direction opposite to that of the incident light are taken negative. (3) The upward distance perpendicular to the principal axis are taken as positive, while the downward distance perpendicular to the principal axis are taken as negative.  Radius of curvature plane mirror =  ( infinite)  Focal length of a plane mirror =   Mirror Formula : The relation between u, v, and focal length (f) of a spherical mirror is known as mirror formula. That is  Linear magnification : Linear magnification produced by a mirror is defined as the ratio of the size ( or height) of the image to the size of the object . It is denoted by m. That is  Power of mirror (P) = =  Linear magnification produced by a plane mirror = + 1.  Refraction of light: The bending of light rays when they pass obsessively from one medium to the other medium is called refraction of light .  A transparent medium through which light travels fast is known as optically rarer medium.  A transparent medium through which light travels slow is known as optically denser medium.  Laws of refraction (i) The incident ray, the refracted ray and the normal to the surface separating two media all lie in the same plane. (ii) The ratio of the sine of the incident angle (i) to the sine of the refracted angle (r) is constant i.e. sin i/ sin r = constant This constant is known as the refractive index of second medium w.r.t the first medium.  Absolute refractive index of a medium is defined as the ratio of the speed of light in vacuum (c) to the speed of light in the medium (v) i.e. n = c / v  Relative refractive index of medium. 2 w.r.t. the medium 1 is defined as the ratio of the speed of light in medium 1 (v1) to the speed of light in medium 2 (v2). i.e. n21= v2 / v1
8min
Sound Part 1 - Lecture 5
1. Sound : Sound is a form of energy which produces a sensation of hearing in our ears. 2. Source of sound and its propagation : A source of vibration motion of an object is normally a source of sound. 3. Characteristics of the medium required for the propagation of sound: (i) Medium must be elastic so that the medium particles have the tendency to return back to their original positions after the displacement. (ii) Medium must have the inertia so that its particles have the capacity to store the energy. The frictional resistance of the medium should be negligible to minimise the loss of energy in propagation. 4. Types of waves (i) Mechanical waves : A mechanical wave is a periodic disturbance which requires a material medium for its propagation. On the basis of motion of particles the mechanical waves are classified into two parts. (a) Transverse wave (b) Longitudinal wave (a) Transverse wave : When the particles of the medium vibrate in a direction perpendicular to the direction of propagation of the wave, the wave is known as the transverse wave. For example, waves produced in a stretched string. (b) Longitudinal wave : When the particles of the medium vibrate along the direction of propagation of the wave then the wave is known as the longitudinal wave. For example sound wave in air. (ii) Electromagnetic waves : The waves which do not require medium for propagation are called electromagnetic waves these waves can travel through vacuum also. For example, light waves, X-rays. 5. Characteristics of a sound wave Frequency : The number of vibrations per second is called frequency. The unit of frequency is hertz (ii) Amplitude: The maximum displacement of each particle from its mean position is called amplitude. The S.I. unit of amplitude is metre (m). (iii) Time period: The time taken to complete one vibration is called time period. Frequency= 1/(Time period) or v = 1/T (iv) Wavelength: The distance between two nearest (adjacent) crests or troughs of a wave is called its wavelength. (v) Velocity of wave: The distance travelled by a wave in one second is called velocity of the wave (or speed of the wave). The S.I. unit for the velocity of a wave is metres per second (m/s or ms-1). (vi) Pitch : Pitch is the sensation (brain interpretation) of the frequency of an emitted sound and is the characteristic which distinguishes a shrill (or sharp) sound from a grave (or flat) sound. (vii) Loudness : It is a measure of the sound energy reaching the ear per second. 6. Reflection of sound : When sound waves strike a surface, they return back into the same medium. This phenomenon is called reflection. 7. Laws of reflection : Angle of incidence is equal the angle of reflection. The incident wave, the reflected wave and the normal all lie in the same plane. 8. Echo : Phenomenon of hearing back our own sound is called an echo. It is due to successive reflection from the surfaces obstacles of large size. 9. Relation between speed of sound, time of hearing echo and distance of reflection body :If t is the time at which an echo is heard, d is the distance between the source of sound and the reflecting body and v is the speed of sound. The total distance travelled by the sound is 2d. speed of sound, v = 2d/t or d = vt/2 10. Conditions for the formation of Echoes (i) The minimum distance between the source of sound and the reflecting body should be 17.2 metres. (ii) The wavelength of sound should be less than the height of the reflecting body. (iii) The intensity of sound should be sufficient so that it can be heard after reflection. 11. Reverberation : Persistence of sound after its production is stopped, is called reverberation. A short reverberation is desirable in a concert hall (where music is being played) because it gives ‘life’ to sound. Too much reverberation confuses the programmers and must be reduced to reduce reverberation. 12. Range of Hearing : The audible range of sound for human beings extends from about 20 Hz to 20,000 Hz (one Hz = one cycle/s). Sounds of frequencies below 20 Hz are called infrasonic sound or infrasound. Frequencies higher than 20 kHz are called ultrasonic sound or ultra sound. Ultrasound is produced by dolphins. 13. Applications of ultrasound : The ultrasound is commonly used for medical diagnosis and therapy, and also as a surgical tool. It is also used in a wide variety of industrial applications and processes. Some creatures use ultrasound for information exchange and for the detection and location of objects. Also some bats and porpoises are found to use ultrasound for navi gation and to locate food in darkness or at a place where there is inadequate light for vision (method of search is called echolocation). 14. Sonar : SONAR means Sound Navigation Rang-ing. In this sound waves (ultrasonic) are used [microwaves are absorbed by water)]. Sound waves are emitted by a source. These waves travel in water with velocity v. The waves re-flected by targets (like submarine bottom sea) are detected. Uses (i) The SONAR system is used for detecting the presence of unseen underwater objects, such as a submerged submarine, a sunken ship, sea rock or a hidden iceberg, and locating them accurately. (ii) The principle of SONAR is also used in industry of detection of flaws in metal blocks or sheets without damaging them. 15. Human ear : It is a highly sensitive part of the human body which enables us to hear a sound. It converts the pressure variations in air with audiable frequencies into electric signals which travel to the brain via the auditory nerve. The human ear has three main parts. Their auditory functions are as follows: (i) Outer ear : The outer ear is called `pinna’. It collects the sound from the suri-ounding. The collected sound passes through the auditory canal. At the end of the auditory canal there is a thin membrane called the ear drum or tympanic membrane. When compression of the medium produced due to vibration of the object reaches the ear drum, the pressure on the outside of the membrane increases and forces the eardrum inward. Similarly, the eardrum moves outward when a rarefaction reaches. In this way the ear drum vibrates. (ii) Middle ear: The vibrations are amplified several times by three bones (the hammer, anvil and stirrup) in the middle ear which act as levers. The middle ear transmits the amplified pressure variations received from the sound wave to the inner ear. (iii) Inner ear: In the inner ear, the pressure variations are turned into electrical signals by the cochlea. These electrical signals are sent to the brain via the auditory nerve, and the brain interprets them as sound.
20min
Sound Part 2 - Lecture 6
1. Sound : Sound is a form of energy which produces a sensation of hearing in our ears. 2. Source of sound and its propagation : A source of vibration motion of an object is normally a source of sound. 3. Characteristics of the medium required for the propagation of sound: (i) Medium must be elastic so that the medium particles have the tendency to return back to their original positions after the displacement. (ii) Medium must have the inertia so that its particles have the capacity to store the energy. The frictional resistance of the medium should be negligible to minimise the loss of energy in propagation. 4. Types of waves (i) Mechanical waves : A mechanical wave is a periodic disturbance which requires a material medium for its propagation. On the basis of motion of particles the mechanical waves are classified into two parts. (a) Transverse wave (b) Longitudinal wave (a) Transverse wave : When the particles of the medium vibrate in a direction perpendicular to the direction of propagation of the wave, the wave is known as the transverse wave. For example, waves produced in a stretched string. (b) Longitudinal wave : When the particles of the medium vibrate along the direction of propagation of the wave then the wave is known as the longitudinal wave. For example sound wave in air. (ii) Electromagnetic waves : The waves which do not require medium for propagation are called electromagnetic waves these waves can travel through vacuum also. For example, light waves, X-rays. 5. Characteristics of a sound wave Frequency : The number of vibrations per second is called frequency. The unit of frequency is hertz (ii) Amplitude: The maximum displacement of each particle from its mean position is called amplitude. The S.I. unit of amplitude is metre (m). (iii) Time period: The time taken to complete one vibration is called time period. Frequency= 1/(Time period) or v = 1/T (iv) Wavelength: The distance between two nearest (adjacent) crests or troughs of a wave is called its wavelength. (v) Velocity of wave: The distance travelled by a wave in one second is called velocity of the wave (or speed of the wave). The S.I. unit for the velocity of a wave is metres per second (m/s or ms-1). (vi) Pitch : Pitch is the sensation (brain interpretation) of the frequency of an emitted sound and is the characteristic which distinguishes a shrill (or sharp) sound from a grave (or flat) sound. (vii) Loudness : It is a measure of the sound energy reaching the ear per second. 6. Reflection of sound : When sound waves strike a surface, they return back into the same medium. This phenomenon is called reflection. 7. Laws of reflection : Angle of incidence is equal the angle of reflection. The incident wave, the reflected wave and the normal all lie in the same plane. 8. Echo : Phenomenon of hearing back our own sound is called an echo. It is due to successive reflection from the surfaces obstacles of large size. 9. Relation between speed of sound, time of hearing echo and distance of reflection body :If t is the time at which an echo is heard, d is the distance between the source of sound and the reflecting body and v is the speed of sound. The total distance travelled by the sound is 2d. speed of sound, v = 2d/t or d = vt/2 10. Conditions for the formation of Echoes (i) The minimum distance between the source of sound and the reflecting body should be 17.2 metres. (ii) The wavelength of sound should be less than the height of the reflecting body. (iii) The intensity of sound should be sufficient so that it can be heard after reflection. 11. Reverberation : Persistence of sound after its production is stopped, is called reverberation. A short reverberation is desirable in a concert hall (where music is being played) because it gives ‘life’ to sound. Too much reverberation confuses the programmers and must be reduced to reduce reverberation. 12. Range of Hearing : The audible range of sound for human beings extends from about 20 Hz to 20,000 Hz (one Hz = one cycle/s). Sounds of frequencies below 20 Hz are called infrasonic sound or infrasound. Frequencies higher than 20 kHz are called ultrasonic sound or ultra sound. Ultrasound is produced by dolphins. 13. Applications of ultrasound : The ultrasound is commonly used for medical diagnosis and therapy, and also as a surgical tool. It is also used in a wide variety of industrial applications and processes. Some creatures use ultrasound for information exchange and for the detection and location of objects. Also some bats and porpoises are found to use ultrasound for navi gation and to locate food in darkness or at a place where there is inadequate light for vision (method of search is called echolocation). 14. Sonar : SONAR means Sound Navigation Rang-ing. In this sound waves (ultrasonic) are used [microwaves are absorbed by water)]. Sound waves are emitted by a source. These waves travel in water with velocity v. The waves re-flected by targets (like submarine bottom sea) are detected. Uses (i) The SONAR system is used for detecting the presence of unseen underwater objects, such as a submerged submarine, a sunken ship, sea rock or a hidden iceberg, and locating them accurately. (ii) The principle of SONAR is also used in industry of detection of flaws in metal blocks or sheets without damaging them. 15. Human ear : It is a highly sensitive part of the human body which enables us to hear a sound. It converts the pressure variations in air with audiable frequencies into electric signals which travel to the brain via the auditory nerve. The human ear has three main parts. Their auditory functions are as follows: (i) Outer ear : The outer ear is called `pinna’. It collects the sound from the suri-ounding. The collected sound passes through the auditory canal. At the end of the auditory canal there is a thin membrane called the ear drum or tympanic membrane. When compression of the medium produced due to vibration of the object reaches the ear drum, the pressure on the outside of the membrane increases and forces the eardrum inward. Similarly, the eardrum moves outward when a rarefaction reaches. In this way the ear drum vibrates. (ii) Middle ear: The vibrations are amplified several times by three bones (the hammer, anvil and stirrup) in the middle ear which act as levers. The middle ear transmits the amplified pressure variations received from the sound wave to the inner ear. (iii) Inner ear: In the inner ear, the pressure variations are turned into electrical signals by the cochlea. These electrical signals are sent to the brain via the auditory nerve, and the brain interprets them as sound.
22min
Sound Part 3 - Lecture 7
1. Sound : Sound is a form of energy which produces a sensation of hearing in our ears. 2. Source of sound and its propagation : A source of vibration motion of an object is normally a source of sound. 3. Characteristics of the medium required for the propagation of sound: (i) Medium must be elastic so that the medium particles have the tendency to return back to their original positions after the displacement. (ii) Medium must have the inertia so that its particles have the capacity to store the energy. The frictional resistance of the medium should be negligible to minimise the loss of energy in propagation. 4. Types of waves (i) Mechanical waves : A mechanical wave is a periodic disturbance which requires a material medium for its propagation. On the basis of motion of particles the mechanical waves are classified into two parts. (a) Transverse wave (b) Longitudinal wave (a) Transverse wave : When the particles of the medium vibrate in a direction perpendicular to the direction of propagation of the wave, the wave is known as the transverse wave. For example, waves produced in a stretched string. (b) Longitudinal wave : When the particles of the medium vibrate along the direction of propagation of the wave then the wave is known as the longitudinal wave. For example sound wave in air. (ii) Electromagnetic waves : The waves which do not require medium for propagation are called electromagnetic waves these waves can travel through vacuum also. For example, light waves, X-rays. 5. Characteristics of a sound wave Frequency : The number of vibrations per second is called frequency. The unit of frequency is hertz (ii) Amplitude: The maximum displacement of each particle from its mean position is called amplitude. The S.I. unit of amplitude is metre (m). (iii) Time period: The time taken to complete one vibration is called time period. Frequency= 1/(Time period) or v = 1/T (iv) Wavelength: The distance between two nearest (adjacent) crests or troughs of a wave is called its wavelength. (v) Velocity of wave: The distance travelled by a wave in one second is called velocity of the wave (or speed of the wave). The S.I. unit for the velocity of a wave is metres per second (m/s or ms-1). (vi) Pitch : Pitch is the sensation (brain interpretation) of the frequency of an emitted sound and is the characteristic which distinguishes a shrill (or sharp) sound from a grave (or flat) sound. (vii) Loudness : It is a measure of the sound energy reaching the ear per second. 6. Reflection of sound : When sound waves strike a surface, they return back into the same medium. This phenomenon is called reflection. 7. Laws of reflection : Angle of incidence is equal the angle of reflection. The incident wave, the reflected wave and the normal all lie in the same plane. 8. Echo : Phenomenon of hearing back our own sound is called an echo. It is due to successive reflection from the surfaces obstacles of large size. 9. Relation between speed of sound, time of hearing echo and distance of reflection body :If t is the time at which an echo is heard, d is the distance between the source of sound and the reflecting body and v is the speed of sound. The total distance travelled by the sound is 2d. speed of sound, v = 2d/t or d = vt/2 10. Conditions for the formation of Echoes (i) The minimum distance between the source of sound and the reflecting body should be 17.2 metres. (ii) The wavelength of sound should be less than the height of the reflecting body. (iii) The intensity of sound should be sufficient so that it can be heard after reflection. 11. Reverberation : Persistence of sound after its production is stopped, is called reverberation. A short reverberation is desirable in a concert hall (where music is being played) because it gives ‘life’ to sound. Too much reverberation confuses the programmers and must be reduced to reduce reverberation. 12. Range of Hearing : The audible range of sound for human beings extends from about 20 Hz to 20,000 Hz (one Hz = one cycle/s). Sounds of frequencies below 20 Hz are called infrasonic sound or infrasound. Frequencies higher than 20 kHz are called ultrasonic sound or ultra sound. Ultrasound is produced by dolphins. 13. Applications of ultrasound : The ultrasound is commonly used for medical diagnosis and therapy, and also as a surgical tool. It is also used in a wide variety of industrial applications and processes. Some creatures use ultrasound for information exchange and for the detection and location of objects. Also some bats and porpoises are found to use ultrasound for navi gation and to locate food in darkness or at a place where there is inadequate light for vision (method of search is called echolocation). 14. Sonar : SONAR means Sound Navigation Rang-ing. In this sound waves (ultrasonic) are used [microwaves are absorbed by water)]. Sound waves are emitted by a source. These waves travel in water with velocity v. The waves re-flected by targets (like submarine bottom sea) are detected. Uses (i) The SONAR system is used for detecting the presence of unseen underwater objects, such as a submerged submarine, a sunken ship, sea rock or a hidden iceberg, and locating them accurately. (ii) The principle of SONAR is also used in industry of detection of flaws in metal blocks or sheets without damaging them. 15. Human ear : It is a highly sensitive part of the human body which enables us to hear a sound. It converts the pressure variations in air with audiable frequencies into electric signals which travel to the brain via the auditory nerve. The human ear has three main parts. Their auditory functions are as follows: (i) Outer ear : The outer ear is called `pinna’. It collects the sound from the suri-ounding. The collected sound passes through the auditory canal. At the end of the auditory canal there is a thin membrane called the ear drum or tympanic membrane. When compression of the medium produced due to vibration of the object reaches the ear drum, the pressure on the outside of the membrane increases and forces the eardrum inward. Similarly, the eardrum moves outward when a rarefaction reaches. In this way the ear drum vibrates. (ii) Middle ear: The vibrations are amplified several times by three bones (the hammer, anvil and stirrup) in the middle ear which act as levers. The middle ear transmits the amplified pressure variations received from the sound wave to the inner ear. (iii) Inner ear: In the inner ear, the pressure variations are turned into electrical signals by the cochlea. These electrical signals are sent to the brain via the auditory nerve, and the brain interprets them as sound.
11min
Electric Current Part 1 - Lecture 8
Electric current : An electric current is defined as the amount of charge flowing through any cross-section of a conductor per unit time, I = . Electric current is a scalar quantity.  Electric current in terms of number of electrons (n) in a conductor, I = , e = charge on an electron = –1.6 × 10–19 C.  In a metallic wire or conductor, the flow of electric current is due to the flow of electrons from one end to the other end of the wire.  Charge carrier in a metallic wire are conduction elements.  6.25 × 1018 electrons make one coulomb of charge.  S.I. unit of electric current is ampere (A).  Ampere (A) : Electric current through a conductor is said to be 1 ampere if one coulomb charge flows through any cross-section of the conductor in one second.  Ammeter is used to measure electric current.  Ammeter is always connected in series in an electric circuit.  Electric potential is defined as work done per unit charge. V =  Electric potential is a scalar quantity.  Electric potential difference is defined as the work done in moving a unit positive charge from one point to another point. dV =  SI unit of electric potential is volt (V).  Voltmeter is used to measure the potential difference between two points in an electric circuit.  Voltmeter is always connected in parallel in an electric circuit.  Ohm's Law : This law states that, "the electric current flowing in a conductor is directly proportional to the potential difference across the ends of the conductor, provided the temperature and other physical conditions of the conductor remain the same".  Resistance (R) : Resistance of a conductor is the ability of the conductor to oppose the flow of charge through it.  Unit of resistance is ohm.  1 Ohm : Resistance of a conductor is said to be 1 ohm if a potential difference of 1 volt across the ends of the conductor produces a current of 1 ampere through it. Resistor is a component (say a metallic wire) in an electric circuit which offers resistance to the flow of electrons constituting the electric current in the electric circuit.  Law of Resistance : (i) Resistance of a conductor depends upon the nature of the material of the conductor. (ii) Resistance of a conductor is directly proportional to the length of the conductor. (iii) Resistance of a conductor is inversely proportional to the each of cross-section of the conductor. (iv) Resistance of metallic conductor increases with the increase of temperature and decreases with the decrease of the temperature.  R =  Resistivity or Specific Resistance () : Resistivity is defined as the resistance of the conductor of unit length and unit area of cross-section.  Unit of Resistivity : In CGS system, unit if resistivity is ohm-cm. In SI system, unit of resistivity is ohm-metre.  Two or more resistors are said to be connected in series if same amount of current flows through these resistors.  The effective resistance of series combination of resistors is the algebraic sum of the individual resistances of the resistors in the combination.  An electric bulb or a heater or a metallic wire acts as a resistor.  If one of the electric bulbs connected in a series is fused, then no electric bulb will glow inspite of the fact that the combination is connected with a source of electric current.  Two or more resistors are said to be connected in parallel if the potential difference across each resistor is equal to the applied potential difference across the combination of the resistors.  The effective resistance of the resistors connected in parallel is less than the minimum resistance of a resistor in the combination.  Resistors are connected in series if the resistance of the electric circuit is to be increased.  Resistors are connected in parallel if the resistance of the electric circuit is to be decreased.  Joule's Law of Heating : The amount of heat produced in a conductor is (i) Directly proportional to the square of the electric current flowing through it. (ii) Directly proportional to the resistance of the conductor. (iii) Directly proportional to the time for which the electric current flows through the conductor. H = I2Rt (joule)  Electric fuse is a safety device used to save the electric appliances from burning.  Electric fuse is a wire made of a material having low melting point.  Electric fuse wire is made of copper or tin-lead alloy.  Electric energy : The work done by a source of electricity to maintain a current in an electric circuit is known as electric energy. E = VIt  Electric power : Electric power is defined as the amount of electric work done in one second. P = VI = I2R = V2 / R  SI unit of power is watt.  Practical unit of power is horse power (h.p.) 1 h.p. = 746 W  Electric energy = Electric power × time  Commercial unit of Energy : kilowatt-hour (kWh)  1 kWh = 3.6 × 106 J
29min
Electric Current Part 2 - Lecture 9
Electric current : An electric current is defined as the amount of charge flowing through any cross-section of a conductor per unit time, I = . Electric current is a scalar quantity.  Electric current in terms of number of electrons (n) in a conductor, I = , e = charge on an electron = –1.6 × 10–19 C.  In a metallic wire or conductor, the flow of electric current is due to the flow of electrons from one end to the other end of the wire.  Charge carrier in a metallic wire are conduction elements.  6.25 × 1018 electrons make one coulomb of charge.  S.I. unit of electric current is ampere (A).  Ampere (A) : Electric current through a conductor is said to be 1 ampere if one coulomb charge flows through any cross-section of the conductor in one second.  Ammeter is used to measure electric current.  Ammeter is always connected in series in an electric circuit.  Electric potential is defined as work done per unit charge. V =  Electric potential is a scalar quantity.  Electric potential difference is defined as the work done in moving a unit positive charge from one point to another point. dV =  SI unit of electric potential is volt (V).  Voltmeter is used to measure the potential difference between two points in an electric circuit.  Voltmeter is always connected in parallel in an electric circuit.  Ohm's Law : This law states that, "the electric current flowing in a conductor is directly proportional to the potential difference across the ends of the conductor, provided the temperature and other physical conditions of the conductor remain the same".  Resistance (R) : Resistance of a conductor is the ability of the conductor to oppose the flow of charge through it.  Unit of resistance is ohm.  1 Ohm : Resistance of a conductor is said to be 1 ohm if a potential difference of 1 volt across the ends of the conductor produces a current of 1 ampere through it. Resistor is a component (say a metallic wire) in an electric circuit which offers resistance to the flow of electrons constituting the electric current in the electric circuit.  Law of Resistance : (i) Resistance of a conductor depends upon the nature of the material of the conductor. (ii) Resistance of a conductor is directly proportional to the length of the conductor. (iii) Resistance of a conductor is inversely proportional to the each of cross-section of the conductor. (iv) Resistance of metallic conductor increases with the increase of temperature and decreases with the decrease of the temperature.  R =  Resistivity or Specific Resistance () : Resistivity is defined as the resistance of the conductor of unit length and unit area of cross-section.  Unit of Resistivity : In CGS system, unit if resistivity is ohm-cm. In SI system, unit of resistivity is ohm-metre.  Two or more resistors are said to be connected in series if same amount of current flows through these resistors.  The effective resistance of series combination of resistors is the algebraic sum of the individual resistances of the resistors in the combination.  An electric bulb or a heater or a metallic wire acts as a resistor.  If one of the electric bulbs connected in a series is fused, then no electric bulb will glow inspite of the fact that the combination is connected with a source of electric current.  Two or more resistors are said to be connected in parallel if the potential difference across each resistor is equal to the applied potential difference across the combination of the resistors.  The effective resistance of the resistors connected in parallel is less than the minimum resistance of a resistor in the combination.  Resistors are connected in series if the resistance of the electric circuit is to be increased.  Resistors are connected in parallel if the resistance of the electric circuit is to be decreased.  Joule's Law of Heating : The amount of heat produced in a conductor is (i) Directly proportional to the square of the electric current flowing through it. (ii) Directly proportional to the resistance of the conductor. (iii) Directly proportional to the time for which the electric current flows through the conductor. H = I2Rt (joule)  Electric fuse is a safety device used to save the electric appliances from burning.  Electric fuse is a wire made of a material having low melting point.  Electric fuse wire is made of copper or tin-lead alloy.  Electric energy : The work done by a source of electricity to maintain a current in an electric circuit is known as electric energy. E = VIt  Electric power : Electric power is defined as the amount of electric work done in one second. P = VI = I2R = V2 / R  SI unit of power is watt.  Practical unit of power is horse power (h.p.) 1 h.p. = 746 W  Electric energy = Electric power × time  Commercial unit of Energy : kilowatt-hour (kWh)  1 kWh = 3.6 × 106 J
17min
Electric Current Part 3 - Lecture 10
Electric current : An electric current is defined as the amount of charge flowing through any cross-section of a conductor per unit time, I = . Electric current is a scalar quantity.  Electric current in terms of number of electrons (n) in a conductor, I = , e = charge on an electron = –1.6 × 10–19 C.  In a metallic wire or conductor, the flow of electric current is due to the flow of electrons from one end to the other end of the wire.  Charge carrier in a metallic wire are conduction elements.  6.25 × 1018 electrons make one coulomb of charge.  S.I. unit of electric current is ampere (A).  Ampere (A) : Electric current through a conductor is said to be 1 ampere if one coulomb charge flows through any cross-section of the conductor in one second.  Ammeter is used to measure electric current.  Ammeter is always connected in series in an electric circuit.  Electric potential is defined as work done per unit charge. V =  Electric potential is a scalar quantity.  Electric potential difference is defined as the work done in moving a unit positive charge from one point to another point. dV =  SI unit of electric potential is volt (V).  Voltmeter is used to measure the potential difference between two points in an electric circuit.  Voltmeter is always connected in parallel in an electric circuit.  Ohm's Law : This law states that, "the electric current flowing in a conductor is directly proportional to the potential difference across the ends of the conductor, provided the temperature and other physical conditions of the conductor remain the same".  Resistance (R) : Resistance of a conductor is the ability of the conductor to oppose the flow of charge through it.  Unit of resistance is ohm.  1 Ohm : Resistance of a conductor is said to be 1 ohm if a potential difference of 1 volt across the ends of the conductor produces a current of 1 ampere through it. Resistor is a component (say a metallic wire) in an electric circuit which offers resistance to the flow of electrons constituting the electric current in the electric circuit.  Law of Resistance : (i) Resistance of a conductor depends upon the nature of the material of the conductor. (ii) Resistance of a conductor is directly proportional to the length of the conductor. (iii) Resistance of a conductor is inversely proportional to the each of cross-section of the conductor. (iv) Resistance of metallic conductor increases with the increase of temperature and decreases with the decrease of the temperature.  R =  Resistivity or Specific Resistance () : Resistivity is defined as the resistance of the conductor of unit length and unit area of cross-section.  Unit of Resistivity : In CGS system, unit if resistivity is ohm-cm. In SI system, unit of resistivity is ohm-metre.  Two or more resistors are said to be connected in series if same amount of current flows through these resistors.  The effective resistance of series combination of resistors is the algebraic sum of the individual resistances of the resistors in the combination.  An electric bulb or a heater or a metallic wire acts as a resistor.  If one of the electric bulbs connected in a series is fused, then no electric bulb will glow inspite of the fact that the combination is connected with a source of electric current.  Two or more resistors are said to be connected in parallel if the potential difference across each resistor is equal to the applied potential difference across the combination of the resistors.  The effective resistance of the resistors connected in parallel is less than the minimum resistance of a resistor in the combination.  Resistors are connected in series if the resistance of the electric circuit is to be increased.  Resistors are connected in parallel if the resistance of the electric circuit is to be decreased.  Joule's Law of Heating : The amount of heat produced in a conductor is (i) Directly proportional to the square of the electric current flowing through it. (ii) Directly proportional to the resistance of the conductor. (iii) Directly proportional to the time for which the electric current flows through the conductor. H = I2Rt (joule)  Electric fuse is a safety device used to save the electric appliances from burning.  Electric fuse is a wire made of a material having low melting point.  Electric fuse wire is made of copper or tin-lead alloy.  Electric energy : The work done by a source of electricity to maintain a current in an electric circuit is known as electric energy. E = VIt  Electric power : Electric power is defined as the amount of electric work done in one second. P = VI = I2R = V2 / R  SI unit of power is watt.  Practical unit of power is horse power (h.p.) 1 h.p. = 746 W  Electric energy = Electric power × time  Commercial unit of Energy : kilowatt-hour (kWh)  1 kWh = 3.6 × 106 J
11min
Magnetic Effect of Electric Current Part 1 - Lecture 11
 Hans Christian oersted discovered a relationship between electricity and magnetism.  A current carrying wire behaves as a magnet.  When a current passes through a wire, a magnetic field is set up around the wire. This effect of current is called magnetic effect of current.  Like magnetic poles repel each other and unlike magnetic poles attract each other.  Magnetic field is space or region around a current carrying wire or a magnet within which its influence is felt by another magnet.  Magnetic field line : The path along which a free unit north pole moves in a magnetic field is called magnetic field line. The tangent at any point on a magnetic field line gives the direction of the magnetic field at that point.  Two magnetic field lines can't intersect or cross each other.  Magnetic field lines are crowded in a region of strong magnetic field.  Magnetic field lines are far apart in a region of weak magnetic field.  When current passes through a straight wire or conductor, a magnetic field is set up around the wire or conductor.  Magnetic field around a current carrying wire or conductor is represented by concentric circles centred at the wire or the conductor.  The direction of magnetic field around the current carrying conductor is determined by Right Hand Thumb Rule.  Magnetic field around a current carrying wire increases with the increase in the current passing through the wire.  Magnetic field around a current carrying wire or conductor is represented by concentric circles centred at the wire or the conductor.  The direction of magnetic field around the current carrying conductor is determined by Right Hand Thumb Rule.  Magnetic field around a current carrying wire increases with the increase in the current passing through the wire.  Magnetic field around a current carrying wire decreases as we go away from the wire.  Magnetic field due to a very long wire like a power transmission line carrying current I and at a distance r from the wire is given by B = ; where, µ0 = 4 × 10–7 TmA–1  Two parallel wires or conductors carrying current in the same directs attract each other.  Two parallel wires or conductors carrying current in the opposite directions repel each other.  The magnetic field around a straight current carrying conductor or wire can be increased by bending it into a circular loop.  The strength of magnetic field produced at the centre of a circular loop of a wire is (i) directly proportional to the amount of current passing through the loop of the wire. (ii) directly proportional to the number of turns of the circular loop of the wire. (iii) inversely proportional to the radius of the circular loop of the wire.  Magnetic field produced by a current carrying circular wire or loop decreases on both sides along the axis of the circular wire.  A solenoid is a coil of many turns of an insulated copper wire closely wound in the shape of a tight spring.  Magnetic field inside a current carrying solenoid is uniform magnetic field.  A solenoid carrying current behaves like a bar magnet.  A soft iron rod placed in a current carrying solenoid is known as electromagnet.  A current carrying conductor placed perpendicular to the magnetic field experience a force.  The force acting on a current carrying conductor placed perpendicular to the magnetic field B is given by F = BIl  Direction of force experienced by a current carrying conductor placed in a magnetic field is determined by Fleming’s Left Hand Rule.  No Force acts on a current carrying conductor when placed parallel to the magnetic field.  SI unit of magnetic field is tesla (T).  Force acts on a charge moving perpendicular to the magnetic field. This force is called Lorentz force.  Force acting on a charge Q moving with velocity v perpendicular to the magnetic field B is given by F = BQV  No force acts on a charge moving parallel to the magnetic field B.  Direction of force experienced by a moving charge in a magnetic field is determined by Right Hand Rule.  Electric motor is a device which converts electrical energy into mechanical energy.  Principle of electric motor : Electric motor works on the principle that a current carrying conductor placed perpendicular to a magnetic field experiences a force.  The phenomenon of producing induced current in a closed circuit due to the change in magnetic field in the circuit is known as electromagnetic induction.  More induced current flows through a closed coil if a bar magnet is brought towards or away from the coil with large speed.  No induced current flows through a closed coil if magnetic field linked with it does not change.  Direction of induced current in a conductor is determined by Fleming’s Right hand rule.  Direct current is an electric current whose magnitude is either constant or variable but the direction of flow in a conductor remains the same.  Frequency of direct current is zero.  Alternating current is an electric current whose magnitude changes with time and direction reverse periodically.  In India, frequency of A.C. is 50 Hz.  A.C. is more dangerous than D.C.  Electric generator is a device used to convert mechanical energy into electrical energy.  Electric generator works on the principle of electromagnetic induction.  To supply electric power from one place to another place, three wires known as phase wire (or live wire), neutral wire and earth wire are used.  The potential difference between the live wire and neutral wire in a household supply of electric power is 220 V.  Current rating of a fuse is the maximum amount of electric current that can be passed through the fuse wire without melting it.  Current rating of a fuse wire in a circuit having bulbs and tubes is 5A.  Current rating of a fuse wire in a circuit having heating appliances is 15A.  Electric fuse is a safety device used to save the electrical appliances from burning when large current flows in the circuit.  Electric fuse is made of a material of low melting point.  Material used for making a fuse wire is made of copper / aluminium / tin-lead alloy.  Short Circuiting : When live wire and neutral wire come in direct contact, the resistance of the circuit becomes very small. Hence huge current flows through the circuit. This huge current produces large amount of heat in the circuit and the circuit catches fire. This is known as short circuiting.
21min
Magnetic Effect of Electric Current Part 2 - Lecture 12
 Hans Christian oersted discovered a relationship between electricity and magnetism.  A current carrying wire behaves as a magnet.  When a current passes through a wire, a magnetic field is set up around the wire. This effect of current is called magnetic effect of current.  Like magnetic poles repel each other and unlike magnetic poles attract each other.  Magnetic field is space or region around a current carrying wire or a magnet within which its influence is felt by another magnet.  Magnetic field line : The path along which a free unit north pole moves in a magnetic field is called magnetic field line. The tangent at any point on a magnetic field line gives the direction of the magnetic field at that point.  Two magnetic field lines can't intersect or cross each other.  Magnetic field lines are crowded in a region of strong magnetic field.  Magnetic field lines are far apart in a region of weak magnetic field.  When current passes through a straight wire or conductor, a magnetic field is set up around the wire or conductor.  Magnetic field around a current carrying wire or conductor is represented by concentric circles centred at the wire or the conductor.  The direction of magnetic field around the current carrying conductor is determined by Right Hand Thumb Rule.  Magnetic field around a current carrying wire increases with the increase in the current passing through the wire.  Magnetic field around a current carrying wire or conductor is represented by concentric circles centred at the wire or the conductor.  The direction of magnetic field around the current carrying conductor is determined by Right Hand Thumb Rule.  Magnetic field around a current carrying wire increases with the increase in the current passing through the wire.  Magnetic field around a current carrying wire decreases as we go away from the wire.  Magnetic field due to a very long wire like a power transmission line carrying current I and at a distance r from the wire is given by B = ; where, µ0 = 4 × 10–7 TmA–1  Two parallel wires or conductors carrying current in the same directs attract each other.  Two parallel wires or conductors carrying current in the opposite directions repel each other.  The magnetic field around a straight current carrying conductor or wire can be increased by bending it into a circular loop.  The strength of magnetic field produced at the centre of a circular loop of a wire is (i) directly proportional to the amount of current passing through the loop of the wire. (ii) directly proportional to the number of turns of the circular loop of the wire. (iii) inversely proportional to the radius of the circular loop of the wire.  Magnetic field produced by a current carrying circular wire or loop decreases on both sides along the axis of the circular wire.  A solenoid is a coil of many turns of an insulated copper wire closely wound in the shape of a tight spring.  Magnetic field inside a current carrying solenoid is uniform magnetic field.  A solenoid carrying current behaves like a bar magnet.  A soft iron rod placed in a current carrying solenoid is known as electromagnet.  A current carrying conductor placed perpendicular to the magnetic field experience a force.  The force acting on a current carrying conductor placed perpendicular to the magnetic field B is given by F = BIl  Direction of force experienced by a current carrying conductor placed in a magnetic field is determined by Fleming’s Left Hand Rule.  No Force acts on a current carrying conductor when placed parallel to the magnetic field.  SI unit of magnetic field is tesla (T).  Force acts on a charge moving perpendicular to the magnetic field. This force is called Lorentz force.  Force acting on a charge Q moving with velocity v perpendicular to the magnetic field B is given by F = BQV  No force acts on a charge moving parallel to the magnetic field B.  Direction of force experienced by a moving charge in a magnetic field is determined by Right Hand Rule.  Electric motor is a device which converts electrical energy into mechanical energy.  Principle of electric motor : Electric motor works on the principle that a current carrying conductor placed perpendicular to a magnetic field experiences a force.  The phenomenon of producing induced current in a closed circuit due to the change in magnetic field in the circuit is known as electromagnetic induction.  More induced current flows through a closed coil if a bar magnet is brought towards or away from the coil with large speed.  No induced current flows through a closed coil if magnetic field linked with it does not change.  Direction of induced current in a conductor is determined by Fleming’s Right hand rule.  Direct current is an electric current whose magnitude is either constant or variable but the direction of flow in a conductor remains the same.  Frequency of direct current is zero.  Alternating current is an electric current whose magnitude changes with time and direction reverse periodically.  In India, frequency of A.C. is 50 Hz.  A.C. is more dangerous than D.C.  Electric generator is a device used to convert mechanical energy into electrical energy.  Electric generator works on the principle of electromagnetic induction.  To supply electric power from one place to another place, three wires known as phase wire (or live wire), neutral wire and earth wire are used.  The potential difference between the live wire and neutral wire in a household supply of electric power is 220 V.  Current rating of a fuse is the maximum amount of electric current that can be passed through the fuse wire without melting it.  Current rating of a fuse wire in a circuit having bulbs and tubes is 5A.  Current rating of a fuse wire in a circuit having heating appliances is 15A.  Electric fuse is a safety device used to save the electrical appliances from burning when large current flows in the circuit.  Electric fuse is made of a material of low melting point.  Material used for making a fuse wire is made of copper / aluminium / tin-lead alloy.  Short Circuiting : When live wire and neutral wire come in direct contact, the resistance of the circuit becomes very small. Hence huge current flows through the circuit. This huge current produces large amount of heat in the circuit and the circuit catches fire. This is known as short circuiting.
7min
Movement & Locomotion - Lecture 1
Movement & Locomotion - (i) Functions of human skeleton (ii) Axial and Appendicular Skeleton (iii) Types of joints - immovable, slightly movable and freely movable (hinge joint, ball and socket joint, gliding joint, pivot joint.) (c) Structure and functions of skin. Various parts of the skin and their functions to be taught with the help of diagrams; heat regulation, vasodilation, vasoconstriction to be explained.
17min
Respiratory System Part 1 - Lecture 2
Respiratory System: Organs; mechanism of breathing; tissue respiration, heat production. Differences between anaerobic respiration in plants and in man. Brief idea of respiratory volumes, effect of altitude on breathing and asphyxiation should be taught. Role of diaphragm and intercostals muscles in breathing must be explained to provide a clear idea of breathing process. Brief idea of gaseous transport and tissue respiration to be given.
13min
Respiratory System Part 2 - Lecture 3
Respiratory System: Organs; mechanism of breathing; tissue respiration, heat production. Differences between anaerobic respiration in plants and in man. Brief idea of respiratory volumes, effect of altitude on breathing and asphyxiation should be taught. Role of diaphragm and intercostals muscles in breathing must be explained to provide a clear idea of breathing process. Brief idea of gaseous transport and tissue respiration to be given.
14min
Respiratory System Part 3 - Lecture 4
Respiratory System: Organs; mechanism of breathing; tissue respiration, heat production. Differences between anaerobic respiration in plants and in man. Brief idea of respiratory volumes, effect of altitude on breathing and asphyxiation should be taught. Role of diaphragm and intercostals muscles in breathing must be explained to provide a clear idea of breathing process. Brief idea of gaseous transport and tissue respiration to be given.
7min
Structure & Function ofs Skin - Lecture 5
Structure and functions of skin. Various parts of the skin and their functions to be taught with the help of diagrams; heat regulation, vasodilation, vasoconstriction to be explained.
14min
Nutrition Part 1 - Lecture 6
Nutrition (i) Classes of food: balanced diet. Malnutrition and deficiency diseases. Functions of carbohydrates, fats, proteins, mineral salts (calcium, iodine, iron and sodium), vitamins and water in proper functioning of the body to be discussed. Sources of vitamins their functions and deficiency diseases to be discussed. Students should be familiar with the term ‘Balanced Diet’. Importance of cellulose in our diet should be discussed. Students should be taught about Kwashiorkor and Marasmus. (ii) the structure of a tooth, different types of teeth. Structure of a tooth to be discussed with the help of a diagram. Functions of different types of teeth must also be taught. (iii) Digestive System: Organs and digestive glands and their functions (including enzymes and their functions in digestion; absorption, utilisation of digested food); tests for reducing sugar, starch, protein and fats. Organs and their functions; functions of saliva; brief idea of peristalsis; digestion in various parts of alimentary canal. Tests for sugar, starch, protein and fats.
44min
Nutrition Part 2 - Lecture 7
Nutrition (i) Classes of food: balanced diet. Malnutrition and deficiency diseases. Functions of carbohydrates, fats, proteins, mineral salts (calcium, iodine, iron and sodium), vitamins and water in proper functioning of the body to be discussed. Sources of vitamins their functions and deficiency diseases to be discussed. Students should be familiar with the term ‘Balanced Diet’. Importance of cellulose in our diet should be discussed. Students should be taught about Kwashiorkor and Marasmus. (ii) the structure of a tooth, different types of teeth. Structure of a tooth to be discussed with the help of a diagram. Functions of different types of teeth must also be taught. (iii) Digestive System: Organs and digestive glands and their functions (including enzymes and their functions in digestion; absorption, utilisation of digested food); tests for reducing sugar, starch, protein and fats. Organs and their functions; functions of saliva; brief idea of peristalsis; digestion in various parts of alimentary canal. Tests for sugar, starch, protein and fats.
19min
Nutrition Part 3 - Lecture 8
Nutrition (i) Classes of food: balanced diet. Malnutrition and deficiency diseases. Functions of carbohydrates, fats, proteins, mineral salts (calcium, iodine, iron and sodium), vitamins and water in proper functioning of the body to be discussed. Sources of vitamins their functions and deficiency diseases to be discussed. Students should be familiar with the term ‘Balanced Diet’. Importance of cellulose in our diet should be discussed. Students should be taught about Kwashiorkor and Marasmus. (ii) the structure of a tooth, different types of teeth. Structure of a tooth to be discussed with the help of a diagram. Functions of different types of teeth must also be taught. (iii) Digestive System: Organs and digestive glands and their functions (including enzymes and their functions in digestion; absorption, utilisation of digested food); tests for reducing sugar, starch, protein and fats. Organs and their functions; functions of saliva; brief idea of peristalsis; digestion in various parts of alimentary canal. Tests for sugar, starch, protein and fats.
12min
Hydrogen - Lecture 1
Hydrogen is the chemical element with the symbol H and atomic number 1. Hydrogen is the lightest element. At standard conditions hydrogen is a gas of diatomic molecules having the formula H 2. It is colorless, odorless, tasteless, non-toxic, and highly combustible.
33min
Periodic Table Part 1 - Lecture 2
periodic table, in full periodic table of the elements, in chemistry, the organized array of all the chemical elements in order of increasing atomic number—i.e., the total number of protons in the atomic nucleus.
27min
Periodic Table Part 2 - Lecture 3
periodic table, in full periodic table of the elements, in chemistry, the organized array of all the chemical elements in order of increasing atomic number—i.e., the total number of protons in the atomic nucleus.
27min
Periodic Table Part 3 - Lecture 4
periodic table, in full periodic table of the elements, in chemistry, the organized array of all the chemical elements in order of increasing atomic number—i.e., the total number of protons in the atomic nucleus.
36min
Study of Gas Laws Part 1 - Lecture 5
gas laws, laws that relate the pressure, volume, and temperature of a gas. Boyle's law—named for Robert Boyle—states that, at constant temperature, the pressure P of a gas varies inversely with its volume V, or PV = k, where k is a constant.
45min
Study of Gas Laws Part 2 - Lecture 6
gas laws, laws that relate the pressure, volume, and temperature of a gas. Boyle's law—named for Robert Boyle—states that, at constant temperature, the pressure P of a gas varies inversely with its volume V, or PV = k, where k is a constant.
26min
Study of Gas Laws Part 3 - Lecture 7
gas laws, laws that relate the pressure, volume, and temperature of a gas. Boyle's law—named for Robert Boyle—states that, at constant temperature, the pressure P of a gas varies inversely with its volume V, or PV = k, where k is a constant.
42min
Study of Gas Laws Part 4 - Lecture 8
gas laws, laws that relate the pressure, volume, and temperature of a gas. Boyle's law—named for Robert Boyle—states that, at constant temperature, the pressure P of a gas varies inversely with its volume V, or PV = k, where k is a constant.
26min
The Language of Chemistry Part 1 - Lecture 9
The Language Of Chemistry Or Chemical Equations, published in 2010, is a book that covers different types of chemical equations. Chemistry is a branch of science that deals with the interaction of atoms and different types of energy.
25min
The Language of Chemistry Part 2 - Lecture 10
The Language Of Chemistry Or Chemical Equations, published in 2010, is a book that covers different types of chemical equations. Chemistry is a branch of science that deals with the interaction of atoms and different types of energy.
14min
The Language of Chemistry Part 3 - Lecture 11
The Language Of Chemistry Or Chemical Equations, published in 2010, is a book that covers different types of chemical equations. Chemistry is a branch of science that deals with the interaction of atoms and different types of energy.
30min
The Language Of Chemistry Part 4 - Lecture 12
The Language Of Chemistry Or Chemical Equations, published in 2010, is a book that covers different types of chemical equations. Chemistry is a branch of science that deals with the interaction of atoms and different types of energy.
15min
The Language Of Chemistry Part 5 - Lecture 13
The Language Of Chemistry Or Chemical Equations, published in 2010, is a book that covers different types of chemical equations. Chemistry is a branch of science that deals with the interaction of atoms and different types of energy.
17min
The Language Of Chemistry Part 6 - Lecture 14
The Language Of Chemistry Or Chemical Equations, published in 2010, is a book that covers different types of chemical equations. Chemistry is a branch of science that deals with the interaction of atoms and different types of energy.
14min
The Language Of Chemistry Part 7 - Lecture 15
The Language Of Chemistry Or Chemical Equations, published in 2010, is a book that covers different types of chemical equations. Chemistry is a branch of science that deals with the interaction of atoms and different types of energy.
24min
Water - Lecture 16
Its chemical formula, H 2O, indicates that each of its molecules contains one oxygen and two hydrogen atoms, connected by covalent bonds. The hydrogen atoms are attached to the oxygen atom at an angle of 104.45°. "Water" is also the name of the liquid state of H2O at standard temperature and pressure.
13min
Chemical Changes & Reaction Part 1 - Lecture 17
In a chemical change, a new compound is formed but in a physical change, the substance changes its state of existence. Atoms or ions or molecules which react to form a new substance are called reactants; the new atoms or molecules formed are products. A chemical reaction follows the law of conservation of mass.
31min
Chemical Changes & Reaction Part 2 - Lecture 18
In a chemical change, a new compound is formed but in a physical change, the substance changes its state of existence. Atoms or ions or molecules which react to form a new substance are called reactants; the new atoms or molecules formed are products. A chemical reaction follows the law of conservation of mass.
28min
Chemical Changes & Reaction Part 3 - Lecture 19
In a chemical change, a new compound is formed but in a physical change, the substance changes its state of existence. Atoms or ions or molecules which react to form a new substance are called reactants; the new atoms or molecules formed are products. A chemical reaction follows the law of conservation of mass.
25min
Chemical Changes & Reaction Part 4 - Lecture 20
In a chemical change, a new compound is formed but in a physical change, the substance changes its state of existence. Atoms or ions or molecules which react to form a new substance are called reactants; the new atoms or molecules formed are products. A chemical reaction follows the law of conservation of mass.
28min
Chemical Bonding Part 1 - Lecture 21
A chemical bond is a bond that holds atoms together. It is the force that binds ions or molecules together. It helps form a chemical compound. Examples of the chemical compounds that are of special interest to biologists are water, sodium chloride, and carbon dioxide
48min
Chemical Bonding Part 2 - Lecture 22
A chemical bond is a bond that holds atoms together. It is the force that binds ions or molecules together. It helps form a chemical compound. Examples of the chemical compounds that are of special interest to biologists are water, sodium chloride, and carbon dioxide
36min
Chemical Bonding Part 3 - Lecture 23
A chemical bond is a bond that holds atoms together. It is the force that binds ions or molecules together. It helps form a chemical compound. Examples of the chemical compounds that are of special interest to biologists are water, sodium chloride, and carbon dioxide
33min
Chemical Bonding Part 4 - Lecture 24
A chemical bond is a bond that holds atoms together. It is the force that binds ions or molecules together. It helps form a chemical compound. Examples of the chemical compounds that are of special interest to biologists are water, sodium chloride, and carbon dioxide
35min

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