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

If the energy (E), velocity (v) and force (F) are taken as fundamental quantities, then what is the dimensional formula for mass?

A

`EV^2`

B

`EV^(-2)`

C

`FV^(-1)`

D

`FV^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `m prop E^x y^y F^z`
By substituting the following dimensions:
`[E] = [ML^2T^(-2)] , [V] = [LT^(-1)] , [F]. [MLT^(-2)]`
and by equating the both sides
`x = 1 , y = -2 , z = 0` , so `[m] = [EV^(-2)]`
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