Question

The value of densities of two diatomic gases at constant temperature and pressure are $d_{1}$ and $d_{2}$, then the ratio of speed of sound in these gases will be

• A. $d_{1}d_{2}$
• B. $\sqrt{d_{2}/d_{1}}$
• C. $\sqrt{d_{1}/d_{2}}$
• D. $\sqrt{d_{1}d_{2}}$

Answer 1

Answer: (B)

$\sqrt{d_{2}/d_{1}}$

Answer 2

Speed of sound in gases is given by

$v_{s\text{ound}} = \sqrt{\frac{\gamma P}{\rho}}$Ž$\frac{v_{1}}{v_{2}} = \sqrt{\frac{\rho_{2}}{\rho_{1}}} = \sqrt{\frac{d_{2}}{d_{1}}}$