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JEE Main 2023 (11 Apr, Shift 2) · Applications of Dimensional Analysis

Applications of Dimensional Analysis question from JEE Main 2023 (11 Apr, Shift 2)

Q27JEE Main 2023 · 11 APR · SHIFT 2Easy

Applications of Dimensional Analysis

If force (F), velocity (V) and time (T) are considered as fundamental physical quantities, then dimensional formula of density will be:

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Answer: (d)

Density $= M/L^3$ , with $M = FT/V$ (from $F = MV/T$ ) and $L = VT$ .
$\rho = \dfrac{FTV^{-1}}{V^3T^3} = FV^{-4}T^{-2}$ .
So the answer is (d).

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