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It two physical quantities a and b are r...

It two physical quantities a and b are related by the equation a= kb where k is dimensionless constant, then the principle of dimensional homogeneity demands that a and b have the same dimension. However the proportionality constant k cannot be determined by dimensional analysis only. It may at most be written that a `prop` b if a and b are of the same dimension.
If a particle of mass m executes simple harmonic motion with amplitude A and frequency f, then its energy is proportional to

A

`(mf)/(A^(2))`

B

`mfA^(-2)`

C

`mf^(2)A^(-2)`

D

`mf^(2)A^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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