WBJEE · Physics · Kinetic Theory of Gases
If the rms velocity of hydrogen gas at a certain temperature is \(c,\) then the ras velocity of oxygen gas at the same temperature is
- A \(\frac{c}{8}\)
- B \(\frac{c}{10}\)
- C \(\frac{c}{4}\)
- D \(\frac{c}{2}\)
Answer & Solution
Correct Answer
(C) \(\frac{c}{4}\)
Step-by-step Solution
Detailed explanation
\(v_{\ln m}=\sqrt{\frac{3 R T}{M}}\) \(R=\) gas constant \(T=\) absolute temperature \(M=\) mass of gas \(v_{\text {rms }}\) of \(\mathrm{H}_{2}=\sqrt{\frac{3 R T}{M_{\mathrm{H}_{2}}}}\) \(v_{\text {rms }}\) of \(\mathrm{O}_{2}=\sqrt{\frac{3 R T}{M_{\mathrm{O}_{2}}}}\)…
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