If "force" F, "length" L and "time T" are taken as fundamental units , the dimensional formula of mass will be

Options

A. `FL^(-1)T^(2)`
B. `FL^(-1)T^(-2)`
C. `FL^(-1)T^(-1)`
D. `FL^(2)T^(2)`

Answer

A

Explanation

Let `m=KF^aL^bT^c`
Substituting the dimension of
`[F]=[MLT^-2]`,`[C]=[L]` and `[T]=[T]`
and comparing both sides, we get `m=FL^-1T^-2`