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On the basis of dimensions, decide which...

On the basis of dimensions, decide which of the following relation for the displacement of a particle undergoing simple harmonic motion is not correct :

A

`y=asin((2pit)/(T))`

B

`y=acosomegat`

C

`y=(a)/(T)sin((t)/(a))`

D

`y=asqrt(2)(sin((2pit)/(T))+cos((2pit)/(T)))`

Text Solution

Verified by Experts

The correct Answer is:
C
dimensions on RHS must be displacement [L]. Arguments of sine and cosine are dimensionless Hence, option (c) is not correct.
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