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In the case of a simple pendulum executing SHM, at t=0, the bob is not at the mean position. The graph drawn between the tension T in the string and time t is

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Important Questions on Oscillations

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The time period of a bob performing simple harmonic motion in water is 2 s. If density of bob is 43×103 kg m-3, then time period of bob performing simple harmonic motion in air will be
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If x, v and a denote the displacement, the velocity and the acceleration of a particle executing SHM of time period T. Then, which of the following does not change with time?
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Two simple pendulums of lengths 5 m and 20 m respectively are given small displacement in one direction at the same time they will again be in the same sense when the pendulum of shorter length has completed n oscillations. Then, n is
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A simple pendulum of length L has mass M and it oscillates freely with amplitude A. At the extreme position, its potential energy is (g = acceleration due to gravity)
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The function (sinωt-cosωt) represents the S.H.M having a time period T
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An object was found to make oscillations governed by the equation y=cos2ωt+π4-0.5. The amplitude and angular frequency of these oscillations, respectively, are
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A simple pendulum oscillates harmonically about x=0 with an amplitude A and time period T. Its speed at x=A/2 is
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A body of mass 8 kg moving with a velocity of 2 ms-1 comes to the rest, after compressing a spring placed on a frictionless table. If the spring constant is 5000 Nm-1 then compression produced in the spring shall be