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Questions  

The function ({\sin ^2}\omega t) represents

a
A periodic but not simple harmonic motion
b
A simple harmonic motion with a period
c
A simple harmonic motion with a period half that of
d
A simple harmonic motion with a period twice that of

detailed solution

Correct option is C

x=sin2ωt=12×2sin2ωt So the particle is executing SHM with amplitude 1/2 and frequency i.e. . The equilibrium position of the particle is at x = 1/2.Now time period of x = cos ωt is .So option (3) is right.

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