LAWS OF MOTION Newton’s first law: Every body persists in its state of rest or of uniform motion in a straight line unless it is compelled to change that state by external force on it. From Newton’s first law, we get definition of force and inertia. Force: Force is the push or pull which […]
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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 MoreCapacitance of spherical capacitor with mixed dielectrics: Let us consider A and B are the two concentric spherical shells of radii a and b respectively (b >a). Shell A is charged by Q and the outer surface of shell B is earthed. Let a shell filled with dielectric medium of dielectric constant K2 of inner […]
Explore MoreA capacitor has rectangular plates of length a and width b. The top plate is inclined at a small angle . Find the capacitance of the capacitor. Let us consider the given capacitor is made of large number of elementary capacitors connected in parallel. Let an elementary capacitor of width dx at a distance x […]
Explore MoreCharging and discharging of a capacitor: Charging: Let us consider a capacitor C is connected to a battery of emf E through a resistance R. During charging of the capacitor the potential difference across the plates becomes equal to the emf of the battery. Let at any time t, I is the current through the […]
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