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JEE · NEET Previous Year Question

$If the rms speeds of helium and oxygen are equal, then the ratio of the temperatures of helium and oxygen is$

Topic: JEE PYQ

Answer: A. Full step-by-step solution below.

A $1 : 8$
B $2 : 1$
C $1 : 4$
D $4 : 1$

Correct answer: A

Solution

(a) rms speed is given by V_{rms} = \frac{3 RT}{M} M_{He} = 4 M_{O_{2}} = 32 \frac{3 RT _{He}}{M _{He}} = \frac{3 RT _{O_{2}}}{M _{O_{2}}} \frac{T _{He}}{T _{O_{2}}} = \frac{M _{He}}{M _{O_{2}}} = \frac{4}{3 ^{2}} = \frac{1}{8}

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