MAXIMA AND MINIMA CONCEPT: Let us consider a physical quantity y depends on another physical quantity x i.e. y = ƒ(x). A graph shown in figure represents the variation of y with respect to x. From the graph point A represents the maximum value of y when x = and point B represents the minimum […]
Explore MoreVector triple product: 1. ( ) = (.) – (.) 2. ( ×) × = – ×( ×) = – [(.) – (.)] = (.) – (.) 3. (×).(×)×(×) = (.×)² Prove: Let, × = so, (×)×(×) = ×(×) = (.) – (.) = (×.) – (×.) = (.×) – (.×) = ( […]
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Lami’s theorem is used to relate forces with angle between them when three coplanar forces are acting from a point in equilibrium. The ratio of one force to the sine of angle between other two forces is constant. Statement and prove: According to Lami’s theorem, for a triangle, the ratio of one side with the […]
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Scalar: The quantities which are represented by magnitude and have no directions and follow the ordinary algebra are called scalar quantity. Example: mass, volume, speed, density etc. Vector: The quantities which are represented by magnitude and directions and follow a special type of algebra (vector algebra) are called vector quantity. Example: velocity, acceleration, force etc. […]
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Integral Calculus: Let us consider, a physical quantity y depends on another physical quantity x i.e., y = (x). The graph shown in figure represents the variation of y with respect to x and P and Q are two points on the curve. PS and QR are the perpendiculars on OX axis from points P […]
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Differential Calculus: Let us consider, a physical quantity y depends on another physical quantity x i.e., y = . The graph shown in figure represents the variation of y with respect to x and A and B are two points on the graph. We draw two perpendiculars on OX from point A and B. AC […]
Explore MoreSignificant figure: Significant figure are the number of digits upto which the accuracy is maintain. Rules of significant figure: (i) All non-zero digits are significant. For example, 1.235 has four significant figures. (ii) The zeros appearing between two non-zero digits are significant. For example, 4.025 has four significant figures. (iii) All the trailing zeros after […]
Explore MoreAccuracy precision and error measurement: Error: There is a difference between the true value and measured value when a physical quantity is measured by an instrument as the measuring instrument is not ideal. This difference is known as error. Accuracy: Accuracy of the measurement of a physical quantity is the closeness of the measured value […]
Explore MoreVernier calipers: Vernier calipers is used to measure length of a body. It consists of four parts. (i) Main scale: It consists of a steel metallic strip (M) graduated in centimetre and millimetre in one edge and in inches in other edge. (ii) Vernier scale. A vernier scale (V) slides on the strip M is […]
Explore MoreMeasurement: 1. Parallax method: If you hold a pen in front of your eye and look the tip of the pen by closing the right eye and then the left eye keeping right eye open, you observe that the position of the tip of the pen changes. This relative shift of the tip of the […]
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