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Ten identical cells connected in series are needed to heat a wire of length one meter and radius ‘r’ by 10° C in time ‘t’. How many cells will be required to heat the wire of length two meter of the same radius by the same temperature in time ‘t’

Two wires A and B of same material and mass have their lengths in the ratio 1: 2. On connecting them to the same source, the rate of heat dissipation in B is found to be 5W. The rate of heat dissipation in A is

In the circuit element given here, if the potential at point B, VB = 0, then the potentials of A and D are given as

A cell of e.m.f. E is connected with an external resistance R, then p.d. across cell is V. The internal resistance of cell will be

Two particles are executing simple harmonic motion of the same amplitude A and frequency w along the x-axis. Their mean position is separated by distance X0(X0>A). If the maximum separation between them is (X0 + A) the phase difference between their motion is

Two simple harmonic motions are represented by the equations y1 = 0.1sin(100πt + π/3) and y2 = 0.1cos πt The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is

A particle performs simple harmonic motion with amplitude A. Its speed is trebled at the instant that it is at distance 2A/3 from equilibrium position. The new amplitude of the motion is

A mass m attached to a spring oscillates every 2 s. If the mass is increased by 2 kg, then time-period increases by 1 s. The initial mass is

A simple pendulum is executing simple harmonic motion with a time period T. If the length of the pendulum is increased by 21%, the percentage increase in the time period of the pendulum of increased length is

A particle executes simple harmonic oscillation with an amplitude a. The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is

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