Physics - Sound Wave Question with Solution | TestHub

Velocity of sound in a gas

$v=\sqrt{\frac{\gamma p}{d}}$

$\therefore \frac{\upsilon H_2}{\upsilon H_e}=\sqrt{\frac{\gamma H_2\times d_{H_e}}{d_{H_2}\times {\gamma }_H{}_{{}_e}}}$

$\frac{v_{H_2}}{v_{He}}=\sqrt{\frac{7\times 3\times 2}{5\times 5}} \left[As\frac{d_{He}}{d_{H_2}}=2\right]$

$\therefore \frac{v_{H_2}}{v_{He}}=\frac{\sqrt{42}}{5}$