If $\mathrm{C}_{0}$ and C denote the sound velocity and r.m.s velocity of molecules in a gas, then\

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Professor PC Thomas Classes · Answer

Velocity of sound $\mathrm{C}_{0}=\sqrt{\gamma \frac{\mathrm{RT}}{\mathrm{M}}}$\ $v_{\mathrm{rms}}=\mathrm{C}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}} \quad 	herefore \frac{\mathrm{C}_{0}}{\mathrm{C}}=\sqrt{\frac{\gamma}{3}}$