If force (F), length (L) nbsp; and time

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If force $(F)$, length $(L)  $ and time $(T)$ are assumed to be fundamental units, then the dimensional formula of the mass will be

A

$F{L^{ - 1}}{T^2}$

B

$F{L^{ - 1}}{T^{ - 2}}$

C

$F{L^{ - 1}}{T^{ - 1}}$

D

$F{L^2}{T^2}$

If force $(F)$, length $(L)  $ and time $(T)$ are assumed to be fundamental units, then the dimensional formula of the mass will be

Let $m = K{F^a}{L^b}{T^c}$

Substituting the dimension of

$[F] = [ML{T^{ - 2}}],$ $[C] = [L]\;and\;[T] = [T]$

and comparing both sides, we get

$m = F{L^{ - 1}}{T^{ - 2}}$