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If the energy ( E) ,velocity (v) and for...

If the energy ( E) ,velocity (v) and force (F) be taken as fundamental quantities,then the dimension of mass will be

A

`Ev^2`

B

`Ev^-2`

C

`Fv^-1`

D

`Fv^-2`

Text Solution

Verified by Experts

The correct Answer is:
B

Let `mpropE^xv^yF^z`
By substituting the following dimensions:
`[E]=[ML^2T^-2]`,`[v]=[LT^-1]`,`[F]=[MLT^-2]`
and by equating the both sides
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