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JEE Main 2022 (29 Jun, Shift 1) · Applications of Dimensional Analysis

Applications of Dimensional Analysis question from JEE Main 2022 (29 Jun, Shift 1)

Q34JEE Main 2022 · 29 JUN · SHIFT 1Easy

Applications of Dimensional Analysis

In van der Waal equation $\left[P + \frac{a}{V^2}\right]$ [V $-$ b] = RT; P is pressure, V is volume, R is universal gas constant and T is temperature. The ratio of constants $\frac{a}{b}$ is dimensionally equal to:

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Answer: (c)

$[a] = [P][V^2]$ and $[b] = [V]$ .
$[a/b] = [P][V]$ .
So the answer is (c) $PV$ .

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