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Out of the following functions represent...

Out of the following functions representing motion of a particle which represents SHM
I. `y = sin omega t - cos omega t`
II. `y = sin^(3)omega t`
III. `y = 5 cos ((3 pi)/(4)-3 omega t)`
IV. `y = 1 + omega t + omega^(2)t^(2)`

A

Only (i)

B

Only (iv) does not represent S.H.M.

C

Only (i) and (ii)

D

Only (i) and (ii)

Text Solution

Verified by Experts

The correct Answer is:
C
Acceleration is linearly dependent on displacement for executing simple harmonic motion
or `a = omega^(2)y`
`(d^(2)y)/(dt^(2)) prop y`
Equations (i) and (iii) satisfy this condition.
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