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Question: Answered & Verified by Expert
At what temperature is the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at $47^{\circ} \mathrm{C}$ ?
PhysicsKinetic Theory of GasesJEE MainJEE Main 2002
Options:
  • A
    80 K
  • B
    73 K
  • C
    3 K
  • D
    20 K
Solution:
2785 Upvotes Verified Answer
The correct answer is:
20 K
$\mathrm{v}_{\mathrm{ms}} \alpha \sqrt{\mathrm{T} / \mathrm{m}} ; \quad \sqrt{\frac{273+47}{32}}=\sqrt{\frac{T}{2}}$ or $\mathrm{T}=20 \mathrm{~K}$

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