If force ( F ), length ( L ) and time ( T ) are assumed to …

Physics Units, Dimensions and Measurement Dimensions Single Correct MCQ

Published on: September 12, 2026

If force ( F ), length ( L ) and time ( T ) are assumed to be fundamental units, then the dimensional formula of the mass will be

FL^{-1}T^{-2}

FL^{-1}T^{-1}

FL^{2}T^{2}

Text Solution

Verified by Experts

The correct answer is:

Let m = KF^{a}L^{b}T^{c}

Substituting the dimension of

\(\left[ F \right] = \left[ M L T^{-2} \right],\) \([c] = [L] \text{ and } [T] = [T]\)

and comparing both sides, we get m = F I^{-1} T^{-2}

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