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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

`[Fv^(-2)]`

B

`[Fv^(-1)]`

C

`[Ev^(-2)]`

D

`[Ev^(2)]`

Text Solution

Verified by Experts

The correct Answer is:
C
Let `E^(a)V^(b)F^(0) = km`
then ,
` [ML^(2)T^(-2)]^(0) [LY^(-1)]^(0)[MLT^(-2)]^(0) = [M]`
Equating the powers, we get
`a = l, b = -2 and c = 0`
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