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The displacement of a particle excuting ...

The displacement of a particle excuting periodic motion is given by `y=4cos^(2)(t//2)sin(1000t)`. Find the independent constituent SHM's.

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
`x=4cos^(2)((1)/(2)t)sin1000t`
`=2(1+cost).sin1000t`
`therefore 2cos^(2)theta=1+cos2theta`
`x=2sin1000t+2sin1000tcost`
`=2sin1000t+sin100t+sin999t`
`because2sinA.cosB=sin(A+B)+sin(A-B)`
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NIKITA PUBLICATION-OSCILLATIONS -MCQ
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