If the root mean square velocity of hydrogen molecule at a given temperature and pressure is \(2 km / s\), the root mean…
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If the root mean square velocity of hydrogen molecule at a given temperature and pressure is \(2 km / s\), the root mean square velocity of oxygen at the same condition in \(km / s\) is:EndFragment
[JEE Main 2024, 01 Feb (Shift 2)]
✓ Correct answer: d)
0.5
Explanation
\({V}_{rms}=\sqrt{\frac{3RT}{M}}\\ \frac{{V}_{1}}{{V}_{2}}=\sqrt{\frac{{M}_{2}}{{M}_{1}}}\\ \Rightarrow \frac{2}{{V}_{2}}=\sqrt{16}\\ ∴{V}_{2}=0.5\mathrm{km}/\mathrm{s}\\\)
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