A) \[16\times 1.8\text{ }km/s\]
B) \[8\times 1.8\text{ }km/s\]
C) \[4\times 1.8\text{ }km/s\]
D) \[1/4\times 1.8\text{ }km/s\]
Correct Answer: D
Solution :
From the relation of rms velocity, we know \[{{c}_{rms}}\propto \sqrt{\frac{1}{M}}\] Hence, \[\frac{{{c}_{rms(H)}}}{{{c}_{rms(H)}}}=\sqrt{\frac{1/{{M}_{H}}}{1/{{M}_{O}}}}=\sqrt{\frac{{{M}_{O}}}{{{M}_{H}}}}\] \[=\sqrt{\frac{32}{2}}=\sqrt{16}=4\] \[{{c}_{rms}}=\frac{{{c}_{rms(H)}}}{4}=\frac{1}{4}\times 1.8\,km/s\]
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