Question

If force (F), velocity (V) and time (T) are taken as
fundamental units, then the dimensions of mass are
(1) [F VT-1]
(2) [F VT-2]
(3) [F V-1T-1]
(4) [F V-1T]

​

Answer 1

F = MA

F = MV/T

\frac{V \times T}{V}=M

= [M] = [F1T1V-1]

Option 1)

[F V T-1]

This is the incorrect option

Option 2)

[F V T-2]

This is the incorrect option

Option 3)

[F V-1 T-1]

This is the incorrect option

Option 4)

[F V-1 T]

This is the correct option