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MHT CET 2021 (23 Sep, Shift 2) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from MHT CET 2021 (23 Sep, Shift 2)

Q60MHT CET 2021 · 23 SEP · SHIFT 2Easy

Molecular Speeds & Maxwell Distribution

The rms speed of a gas molecule is ' $V$ ' at pressure ' $P$ '. If the pressure is increased by two times, then the rms speed of the gas molecule at the same temperature will be

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Answer: (a)

$v_{rms} = \sqrt{\frac{3RT}{M}}$ depends only on $T$ and $M$ .
At the same temperature, changing pressure only changes density ( $P/\rho$ stays constant), so $v_{rms}$ does not change.
So the answer is (a) $V$ .

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