JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
A sample contains mixture of helium and oxygen gas. The ratio of root mean square speed of helium and oxygen in the sample is _______.
- A \(\frac{1}{32}\)
- B \(\frac{2 \sqrt{2}}{1}\)
- C \(\frac{1}{4}\)
- D \(\frac{1}{2 \sqrt{2}}\)
Answer & Solution
Correct Answer
(B) \(\frac{2 \sqrt{2}}{1}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{V}_{\mathrm{rms}} =\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}_{\mathrm{w}}}}\) \(\Rightarrow \frac{\mathrm{V}_{\mathrm{O}_2}}{\mathrm{~V}_{\mathrm{He}}}\) \(=\sqrt{\frac{\mathrm{M}_{\mathrm{w}, \mathrm{He}}}{\mathrm{M}_{\mathrm{w}, \mathrm{O}_2}}}\)…
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