Physics And Measurement Question 130
Question: If energy $ (E) $ , velocity $ (v) $ and force $ (F) $ be taken as fundamental quantity, then what are the dimensions of mass
[AMU 2000]
Options:
A) $ Ev^{2} $
B) $ E{{v}^{-2}} $
C) $ F{{v}^{-1}} $
D) $ F{{v}^{-2}} $
Show Answer
Answer:
Correct Answer: B
Solution:
Let $ m\propto E^{x}v^{y}F^{z} $
By substituting the following dimensions :
$ [E]=[ML^{2}{{T}^{-2}}],[v]=[L{{T}^{-1}}],[F]=[ML{{T}^{-2}}] $
and by equating the both sides $ x=1,y=-2,z=0 $ .
So $ [m]=[E{{v}^{-2}}] $
