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MHT CET 2021 (21 Sep, Shift 2) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from MHT CET 2021 (21 Sep, Shift 2)

Q69MHT CET 2021 · 21 SEP · SHIFT 2Medium

Molecular Speeds & Maxwell Distribution

Equal volumes of two gases are kept in different containers having densities in the ratio 1: 16. They exert equal pressures on the wall of their respective containers. Then the ratio of their r.m.s. velocities is

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Answer: (c)

  1. C=3PρC = \sqrt{\frac{3P}{\rho}}; same PP gives C∝1ρC \propto \frac{1}{\sqrt\rho}
  2. C1C2=161=4\frac{C_1}{C_2} = \sqrt{\frac{16}{1}} = 4
  3. So the answer is (c) 4:14 : 1.
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