Easy MCQ +4 / -1 PYQ · JEE Mains 2024

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

  1. A $\frac{1}{2 \sqrt{2}}$
  2. B $\frac{1}{4}$
  3. C $\frac{2 \sqrt{2}}{1}$ Correct answer
  4. D $\frac{1}{32}$

Solution

<p>$$\begin{aligned} & v=\sqrt{\frac{3 R T}{M}} \\ & \Rightarrow \frac{v_{\mathrm{H}_{\mathrm{e}}}}{v_{\mathrm{O}_2}}=\sqrt{\frac{M_{\mathrm{o}_2}}{M_{\mathrm{H}_e}}}=\frac{2 \sqrt{2 }}{1} \end{aligned}$$</p>

About this question

Subject: Physics · Chapter: Thermodynamics · Topic: Kinetic Theory of Gases

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