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Q.

The displacement y of a particle executing periodic motion is given by y = 4 cos2(t2)sin(1000t). This expression may be considered to be a result of the superposition of how many 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 = 4 cos2(t2)sin 1000 t⇒y = 2(1+cos t)sin 1000 t⇒y = 2 sin 1000 t + 2 cos t sin 1000t⇒y = 2 sin 1000t + sin 999 t + sin 1001 tIt is a sum of three S.H.M.
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