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Q.

The function sin2(ωt) represents

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a

A periodic but not simple harmonic, motion with a period  π/ω

b

A periodic but not simple harmonic motion with a period  2π/ω

c

A simple harmonic motion with a period π/ω

d

A simple harmonic motion with a period 2π/ω

answer is D.

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Detailed Solution

y=sin2ω t=1−cos2ωt2⇒ Period, T=2π2ω=πω
The given function is not satisfying the standard differential equation of S.H.M. d2ydx2=− ω2y. Hence it represents periodic motion but not S.H.M.
 

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