Kinetic Theory

JEE Main level, single correct, medium

66 of 168

Question 66 of 168

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} ?

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Answer: (D) 20 K

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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