Q97 / 180 · NEET 2014 · Physics

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

A
$[F V T^{- 1}]$
B
$[F V T^{- 2}]$
C
$[F V^{- 1} T^{- 1}]$
Correct answer
D
$[F V^{- 1} T]$

Solution

The force is equal to the mass and the acceleration of the body.
$F = m a = \frac{m v}{t}$
It can be dimensionally represented as
$F = M \times \frac{L}{T^{2}} = \frac{M L}{T T}$
$F = \frac{M V}{T}$
So, the dimension of the mass is
$[M] = [F T V^{- 1}]$

Hence, the correct answer is option: 'D'.

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

Solution

Relevant Questions

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