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Kinetic Theory

JEE Main level, single correct, medium

26 of 168

Question 26 of 168

A sample contains mixture of helium and oxygen gas. The ratio of root mean square speed of helium and oxygen in the sample, is:

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Answer: (B) $\frac{2 \sqrt{2}}{1}$

\begin{aligned} & \mathrm{V}_{\mathrm{ms}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}_{\mathrm{w}}}} \\ & \Rightarrow \frac{\mathrm{V}_{\mathrm{O}_2}}{\mathrm{~V}_{\mathrm{He}}}=\sqrt{\frac{\mathrm{M}_{\mathrm{w}, \mathrm{He}}}{\mathrm{M}_{\mathrm{w}, \mathrm{O}_2}}} \\ & =\sqrt{\frac{4}{32}}=\frac{1}{2 \sqrt{2}} \\ & \frac{\mathrm{V}_{\mathrm{He}}}{\mathrm{V}_{\mathrm{O}_2}}=\frac{2 \sqrt{2}}{1} \\ & \end{aligned}

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Physics practice question on Kinetic Theory (Speed of Gas), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.