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

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`
`rArr F = (mv)/(t)`
`rArr m = (Ft)/(v)`
`[M] = ([F][T])/([v]) = [Fv^(-1)T]`
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