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}} $



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