A) \[\sqrt{\frac{21}{200}}\]
B) \[\sqrt{\frac{1}{8}}\]
C) \[\sqrt{\frac{200}{21}}\]
D) \[\sqrt{\frac{8}{1}}\]
Correct Answer: A
Solution :
\[v=\sqrt{\frac{\ell RT}{M}}\] \[\Rightarrow \frac{{{v}_{1}}}{{{v}_{2}}}=\sqrt{\frac{{{\gamma }_{1}}{{M}_{2}}}{{{\gamma }_{2}}{{M}_{1}}}}=\sqrt{\frac{\frac{7}{5}\times 4}{\sqrt{\frac{5}{3}\times 32}}=\sqrt{\frac{21}{200}}}\]
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