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Q.

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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a

Two

b

Three

c

Four

d

Five

answer is B.

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Detailed Solution

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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