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JEE Main 2024 (30 Jan, Shift 1) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from JEE Main 2024 (30 Jan, Shift 1)

Q27JEE Main 2024 · 30 JAN · SHIFT 1Easy

Molecular Speeds & Maxwell Distribution

At which 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: (a)

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 (a) 20 K.

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