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If force (F) velocity (V) and time (T) a...

If force `(F)` velocity `(V)` and time `(T)` are taken as fundamental units, then the dimensions of mass are

A

`[FvT^(-1)]`

B

`[FvT^(-2)]`

C

`[Fv^(1)T^(-1)]`

D

`[Fv^(-1)T]`

Text Solution

Verified by Experts

The correct Answer is:
D
We know that
`F=ma implies F=(mv)/(t)implies m(ft)/(v)`
`:.` Dimensions of` [M]=([F][T])/([v])=[Fv^(-1)T]`
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