Questions

The displacement y of a particle executing periodic motion is given by $\mathrm{y}=4{\mathrm{cos}}^{2}(\mathrm{t}/2)\mathrm{sin}\left(1000\mathrm{t}\right)$. 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

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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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Two particles executes S.H.M. of same amplitude and frequency along the same straight line. They pass one another when going in opposite directions, and each time their displacement is half of their amplitude. The phase difference between them is

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