Question) If energy e velocity v, force f be taken as a fundamental quantity then what are dimensions of mass?
$a) E v^{2} b) E v^{- 2} c) F v^{- 1} d) F v^{- 2}$

Question

Question) If energy e velocity v, force f be taken as a fundamental
quantity then what are dimensions of mass?
a )   E v 2 b )   E v - 2 c )   F v - 1 d )   F
v - 2

Harsh Thakur · Answer

Ans Let the dimensional formula of mass is M = EaFbVc

?E=ML2T-2? ,? F =MLT-2? , V=LT-1

on putting these

??? M = Ma+b?L2a+b+c?T-2a-2b-c

equating powers ,we get

?a=1 , b=0, c=-2

?dimensional formula of mass= E1 F0?V-2

Question) If energy e velocity v, force f be taken as a fundamental quantity then what are dimensions of mass? a ) E v 2 b ) E v - 2 c ) F v - 1 d ) F v - 2

Question) If energy e velocity v, force f be taken as a fundamental quantity then what are dimensions of mass?
$a) E v^{2} b) E v^{- 2} c) F v^{- 1} d) F v^{- 2}$