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JEE Main 2019 (9 Apr, Shift 1) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from JEE Main 2019 (9 Apr, Shift 1)

Q78JEE Main 2019 · 9 APR · SHIFT 1Medium

Molecular Speeds & Maxwell Distribution

For a given gas at 1 atm pressure, rms speed of the molecule is 200 m/s at 127°C. At 2 atm pressure and at 227°C, the rms speed of the molecules will be:

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Answer: (b)

For a given gas $v_{rms} \propto \sqrt T$ ; pressure does not matter.
$v_2 = 200\sqrt{\frac{500}{400}} = 200\cdot\frac{\sqrt5}{2}$
So the answer is (b) $100\sqrt5\text{ m/s}$ .

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