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Question: If the ratio of vapour density for hydrogen and oxygen is \(\frac{1}{16}\), then under constant pres...

If the ratio of vapour density for hydrogen and oxygen is 116\frac{1}{16}, then under constant pressure the ratio of their rms velocities will be

A

41\frac{4}{1}

B

14\frac{1}{4}

C

116\frac{1}{16}

D

161\frac{16}{1}

Answer

41\frac{4}{1}

Explanation

Solution

vrms=3pρ⇒v1v2=ρ2ρ1=161=41v_{rms} = \sqrt{\frac{3p}{\rho}} \Rightarrow \frac{v_{1}}{v_{2}} = \sqrt{\frac{\rho_{2}}{\rho_{1}}} = \sqrt{\frac{16}{1}} = \frac{4}{1}