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Q.

Which of the following statements is/are true for a simple harmonic oscillator ?

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a

Force acting is directly proportional to displacement from the mean position and opposite to it

b

Motion is periodic

c

The velocity is periodic

d

All are true

answer is D.

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Detailed Solution

If 'a' be the acceleration of a particle executing SHM and 'y' be its displacement measured from equilibrium position, then .Since force (F) acting on the particle is given by F = ma, we can write Here F and y are oppositely directed.General equation of SHM is .So y is a periodic function of time,    So v is also a periodic function of time.
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