Physical World Units and Measurements - Result Question 11

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

[2014]

(a) $[FV T^{-1}]$

(b) $[FV T^{-2}]$

(c) $[F V^{-1} T^{-1}]$

(d) $[F V^{-1} T]$

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Answer:

Correct Answer: 11. (d)

Solution:

  1. (d) Force $=$ mass $\times$ acceleration

$\Rightarrow$ Mass $=\frac{\text{ force }}{\text{ acceleration }}$

$=\frac{\text{ force }}{\text{ velocity } / \text{ time }}=[F V^{-1} T]$