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JEE Main 2021 (27 Aug, Shift 2) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from JEE Main 2021 (27 Aug, Shift 2)

Q63JEE Main 2021 · 27 AUG · SHIFT 2Easy

Molecular Speeds & Maxwell Distribution

if the rms speed of oxygen molecules at 0∘{}^\circC is 160 m/s, find the rms speed of hydrogen molecules at 0∘{}^\circC.

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Answer: (a)

  1. At the same temperature vrms∝1Mv_{rms} \propto \frac{1}{\sqrt{M}}.
  2. vH2=160×322=160×4v_{H_2} = 160 \times \sqrt{\frac{32}{2}} = 160 \times 4
  3. vH2=640 m/sv_{H_2} = 640\text{ m/s}
  4. So the answer is (a) 640 m/s.
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