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  • The ratio of speed of sound in  gas that in helium gas, at <img alt="300K" src="https://entrancecorner.onco

The ratio of speed of sound in N_2 gas that in helium gas, at 300K is

Option: 1

\sqrt{\frac{2}{7}}


Option: 2

\sqrt{\frac{1}{7}}


Option: 3

\frac{\sqrt{3}}{5}


Option: 4

\frac{\sqrt{6}}{5}


Answers (1)

best_answer

Speed of sound in gas v=\sqrt{\frac{y R_T}{M}}

or v \propto \sqrt{\frac{y}{M}}

\begin{aligned} \frac{\nu_{N_2}}{\nu_{H_e}} & =\sqrt{\frac{y_{N_2}}{y_{H_e}} \times \frac{M_{H_e}}{M_{N_2}}} \\ & =\sqrt{\frac{7 / 5}{5 / 3} \times \frac{4}{28}}=\frac{\sqrt{3}}{5} \end{aligned}

Posted by

shivangi.bhatnagar

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