NEET Solved Paper 2014 Question 1

Question: If force (F) velocity ( $ \upsilon $ ) and time (T) are taken as fundamental units, then the dimensions of mass are [AIPMT 2014]

Options:

A) $ [Fv{T^{-1}}] $

B) $ [Fv{T^{-2}}] $

C) $ [F{v^{-1}}{T^{-1}}] $

D) $ [F{v^{-1}}T] $

Show Answer

Answer:

Correct Answer: D

Solution:

We know that

$ F=ma\Rightarrow F=\frac{mv}{t}\Rightarrow m=\frac{Ft}{v} $

$ [M]=\frac{[F][T]}{[v]}=[F{v^{-1}}T] $