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JEE Main 2022 (25 Jun, Shift 1) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from JEE Main 2022 (25 Jun, Shift 1)

Q56JEE Main 2022 · 25 JUN · SHIFT 1Medium

Molecular Speeds & Maxwell Distribution

The relation between root mean square speed (vrms) and most probable speed (vp) for the molar mass M of oxygen gas molecule at the temperature of 300 K will be:

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Answer: (b)

$v_{rms} = \sqrt{\frac{3RT}{M}}$ , $v_p = \sqrt{\frac{2RT}{M}}$
$\frac{v_{rms}}{v_p} = \sqrt{\frac{3}{2}}$
So the answer is (b) $v_{rms} = \sqrt{\frac{3}{2}}\,v_p$ .

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