If force (F), velocity (V) and time (T) are taken as fundamental quantities, then the dimensions of mass are:
A[F V⁻¹ T]
B[F V T⁻¹]
C[F V⁻¹ T⁻¹]
D[F Vᵃ T]
Answer & Solution
Correct answer: A. [F V⁻¹ T]
Using $F=ma$, we get $m=F/a$. Since acceleration has dimensions $[VT^{-1}]$, mass has dimensions $[F][V^{-1}T]$. Hence option A is correct.
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