The ratio of the velocity of sound in hydrogen gas $(\gamma = 7/5)$ to that in helium gas $(\gamma = 5/3)$ at the same temperature will be
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$\mathrm{V} \propto \sqrt{\frac{\gamma}{\mathrm{m}}}$
$\frac{V_{H_{2}}}{V_{H e}}=\sqrt{\frac{7 / 5}{2} \times \frac{4}{5 / 3}}=\sqrt{\frac{7}{5} \times \frac{4}{2} \times \frac{3}{5}}$
$=\sqrt{\frac{42}{5}}$
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