A) \[\sqrt{\frac{5}{42}}\]
B) \[\sqrt{\frac{5}{21}}\]
C) \[\sqrt{\frac{42}{5}}\]
D) \[\sqrt{\frac{21}{5}}\]
Correct Answer: C
Solution :
Velocity of sound in a gas \[v=\sqrt{\frac{\gamma p}{d}}\] \[\therefore \] \[\frac{{{v}_{{{H}_{2}}}}}{{{V}_{He}}}=\sqrt{\frac{{{\gamma }_{{{H}_{2}}}}\times {{d}_{He}}}{{{d}_{{{H}_{2}}}}\times {{\gamma }_{He}}}}\] \[\frac{{{H}_{2}}}{He}=\sqrt{\frac{7\times 3\times 2}{5\times 5}}\] As \[\frac{{{v}_{He}}}{{{v}_{He}}}=\frac{\sqrt{42}}{5}\]
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