Question

The ratio of speed of sound wave in Neon to that in H${}_2$ O vapors at any temperature is

• A. $\frac{9}{8}$
• B. $\frac{3}{2\sqrt{2}}$
• C. $\frac{3}{2}$
• D. $\frac{3}{\sqrt{10}}$

Answer 1

The correct option is D $\frac{3}{\sqrt{10}}$

$\vartheta =\sqrt{\frac{\gamma RT}{M_0}}$

$So,\vartheta \propto \frac{1}{\sqrt{M_0}}$

$So,\frac{{\vartheta }_1}{{\vartheta }_2}=\frac{1/\sqrt{M_{01}}}{1/\sqrt{M_{02}}}$

$\sqrt{\frac{M_{02}}{M_{01}}}$

$\sqrt{\frac{18}{20}}$

$\frac{v_1}{v_2}=\frac{3}{\sqrt{10}}$