The ratio of the speed of sound in nitrogen gas to that in helium gas, at $300 K$ is
IIT 1999, Medium
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(c) Velocity of sound in gas $v = \sqrt {\frac{{\gamma RT}}{M}} $
==> $v \propto \sqrt {\frac{{\gamma T}}{M}} $
==>$\frac{{{v_{{N_2}}}}}{{{v_{He}}}} = \sqrt {\frac{{{\gamma _{{N_2}}}}}{{{\gamma _{He}}}} \times \frac{{{M_{He}}}}{{{M_{{H_2}}}}}} = \sqrt {\frac{{\frac{7}{5}R \times 4}}{{\frac{5}{3}R \times 28}}} = \frac{{\sqrt 3 }}{5}$
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