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A student writes four different expressi...

A student writes four different expression for the displacement `y` in a period motion
`y = a sin"(2 pi r)/(T)`
`y = a sin vt`
`y = (a)/(t) sin"(t)/(a)`
`y = (a )/(sqrt(2))[sin'(2 pi r)/(T)+ cos '(2 pi r)/(T)]`
where `a` is maximum displacement , x is the speed and T is the time period then dimensionally.

A

1 and 2 are wrong

B

2 and 3 are wrong

C

3 and 4 are wrong

D

4 and 1 are wrong

Text Solution

Verified by Experts

The correct Answer is:
b
Since LHS is displacement, so RHS should have dimensions of displacementAlso argument of a trigonomentric function should be dimensions in equation (2) argamant is not dimensions and in equation (3) `a//T` has not the dimensions of displacement.
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