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The function sin^(2) (omegat) repres...

The function `sin^(2) (omegat) ` represents.

A

(a)a periodic, butnot simple harmonic, motion with a period `2pi//omega`

B

(b)a particle, but not simple harmonic, motion with a period `pi//omega`

C

(c)a simple harmonic motion with a period `2pi//omega`

D

(d)a simple harmonic motion with a period `pi//omega`

Text Solution

Verified by Experts

The correct Answer is:
B
`y = sin^(2)omegat = (I - cos2omegat)/(2) = 1/2 - 1/2 cos2omegat`
`rArr` motion is SHM with time period `= (2pi)/(2omega) = (pi)/(omega)`
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ALLEN -SIMPLE HARMONIC MOTION-Exercise-05 [A]
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  11. If a simple pendulum has significant amplitude (up to a factor of (1)/...

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  15. For a simple pendulum, a graph is plotted between itskinetic energy (K...

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  18. A pendulum with time period of 1s is losing energy due to damping. At ...

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  19. A particle performs simple harmonic mition with amplitude A. Its speed...

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  20. Two particles are in SHM in a straight line about same equilibrium pos...

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