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Units & Dimensions

JEE Main level, single correct, medium

113 of 149

Question 113 of 149

A quantity $x$ is given by $(1F{v}^{2}/W{L}^{4})$ in terms of moment of inertia $I$ , force $F$ , velocity $v$ , work $W$ and length $L$ . The dimensional formula for $x$ is same as that of :

Show answer and solution

Answer: (C) energy density

\dfrac{{IFv}^{2}}{{WL}^{4}}=\dfrac{\left({M}^{1}{L}^{2}\right)\left({M}^{+}{L}^{1}{T}^{-2}\right){\left({L}^{1}{T}^{-2}\right)}^{2}}{\left({M}^{1}{L}^{2}{T}^{-2}\right)\left({L}^{4}\right)}=\dfrac{{M}^{1}{L}^{-2}{T}^{-2}}{{L}^{3}}={M}^{4}{L}^{-1}{T}^{-2}=

Energy density

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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More Physics practice

JEE Main Physics practice question on Units & Dimensions (Dimensions), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

A quantity xxx is given by (1Fv2/WL4)(1F{v}^{2}/W{L}^{4})(1Fv2/WL4) in terms of moment of inertia III, force FFF, velocity vvv, work WWW and length LLL. The dimensional formula for xxx is same as that of :

JEE Main question paper PDF

More Physics practice

A quantity $x$ is given by $(1F{v}^{2}/W{L}^{4})$ in terms of moment of inertia $I$ , force $F$ , velocity $v$ , work $W$ and length $L$ . The dimensional formula for $x$ is same as that of :