Physics And Measurement Question 156
Question: If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be?
[J & K CET 2004]
Options:
A) $ F{{L}^{-1}}T^{2} $
B) $ F{{L}^{-1}}{{T}^{-2}} $
C) $ F{{L}^{-1}}{{T}^{-1}} $
D) $ FL^{2}T^{2} $
Show Answer
Answer:
Correct Answer: A
Solution:
Let $ m=KF^{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}} $
