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JEE Main 2002 (AIEEE) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from JEE Main 2002 (AIEEE)

Q90JEE Main 2002 · AIEEEEasy

Molecular Speeds & Maxwell Distribution

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

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Answer: (d)

Equal $v_{rms}$ means $\frac{T_H}{M_H} = \frac{T_O}{M_O}$ .
$T_O = 47 + 273 = 320\text{ K}$
$T_H = 320 \times \frac{2}{32} = 20\text{ K}$
So the answer is (d) 20 K.

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