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JEE Main 2002
Exam
JEE Main
Year
2002
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2002 · Physics · Kinetic Theory of Gases

At what temperature is the r.m.s. velocity of a hydrogen molecule...

At what temperature is the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at 47∘C47^{\circ} \mathrm{C} ?

Options

  1. A80 K
  2. B73 K
  3. C3 K
  4. D20 K

Correct answer

D. 20 K

Step-by-step solution

vmsαT/m;273+4732=T2\mathrm{v}_{\mathrm{ms}} \alpha \sqrt{\mathrm{T} / \mathrm{m}} ; \quad \sqrt{\frac{273+47}{32}}=\sqrt{\frac{T}{2}} or T=20 K\mathrm{T}=20 \mathrm{~K}
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