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JEE Main 2026 (5 Apr, Shift 1) · Applications of Dimensional Analysis

Applications of Dimensional Analysis question from JEE Main 2026 (5 Apr, Shift 1)

Q3JEE Main 2026 · 5 APR · SHIFT 1Easy

Applications of Dimensional Analysis

$L, C$ and $R$ represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula $\mathrm{ML^{2}T^{-4}A^{-2}}$ corresponds to ______.

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Answer: (a)

$\sqrt{LC}$ has dimensions of time: $[\sqrt{LC}] = [T]$ .
$[R] = [ML^2T^{-3}A^{-2}]$ .
$[R/\sqrt{LC}] = [ML^2T^{-4}A^{-2}]$ .
So the answer is (a) $\frac{R}{\sqrt{LC}}$ .

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