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A particle is undergoing simple harmonic motion. The graph shows variation of velocity of particle with its position from mean position. The frequency of simple harmonic motion is,

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Important Questions on Oscillations

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If the length of second pendulum is increased by 2%, how many seconds it will lose per day?

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What is the effect on the time period of a simple pendulum if the mass of the bob is doubled?
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A particle moving simple harmonically with time period T and amplitude A will have a mean velocity averaged over a quarter oscillation equal to,
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A particle moves on the X-axis according to the equation, x=x0sin2ωt. The motion is simple harmonic,
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Displacement-time graph of a particle executing S.H.M. is shown below.

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The corresponding force-time graph of the particle can be

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When a particle in linear S.H.M. completes two oscillations, its phase increases by
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Two S.H.M.s are given by x1=Asinπt2+α and x2=Bsin2πt3+α. The phase difference between them after 1 s is,
 
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W denotes the total energy of a particle in linear S.H.M. At a point equidistant from the mean position and extremity of the path of the particle,