Verified Solution • 2025–26 Session moderate

QJEEM24Phae2d: JEE Main 2024 Physics - Class 11 JEEM24Phae2d Solution: A sample contains mixture of helium and oxygen gas. The ratio…

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

Multiple Choice Options

  • A 122\frac{1}{2 \sqrt{2}}
  • B 14\frac{1}{4}
  • C 221\frac{2 \sqrt{2}}{1}
  • D 132\frac{1}{32}

Step-by-Step Verified Solution

amp;v=3RTMamp;⇒vHevO2=Mo2MHe=221\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}

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