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.