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Four different expressions for displacem...

Four different expressions for displacement of a particle executing simple harmonic motion are printed on a book:
Here a = maximum displacement of the particle , v =its velocity and T = its time period. Check from dimensional analysis which of these expressions involve (s) some printing mistake.

A

`y = a sin""(2pit)/(T)`

B

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

C

`y = a sin vt`

D

`y = (a)/(sqrt2) [ sin"" (2pit)/(T) + cos ""(2pit)/(T)]`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
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