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The displacement y of a particle executing periodic motion is given by y=4cos2(t/2)sin(1000t). This expression may be considered to be a result of the superposition of  ........... independent harmonic motions 

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detailed solution

Correct option is B

y=4cos2t2sin1000 t⇒y=2(1+cost)sin1000 t⇒y=2sin1000 t+2cost sin1000t⇒y=2sin1000 t+sin999 t+sin1001 tIt is a sum of three S.H.M.

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