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(B) The speed of sound in an ideal gas is given by the formula $v_s = \sqrt{\frac{\gamma RT}{M}}$,where $\gamma$ is the adiabatic index,$R$ is the uni

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$\sqrt{\frac{M_2}{M_1}}$

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(B) The speed of sound in an ideal gas is given by the formula $v_s = \sqrt{\frac{\gamma RT}{M}}$,where $\gamma$ is the adiabatic index,$R$ is the universal gas constant,$T$ is the absolute temperature,and $M$ is the molecular mass.Since both gases are monoatomic,they have the same adiabatic index $\gamma = \frac{5}{3}$.Given that the temperature $T$ is the same for both gases,we have $v_s \propto \sqrt{\frac{1}{M}}$.Therefore,the ratio of the speed of sound in gas $1$ to that in gas $2$ is $\frac{v_1}{v_2} = \sqrt{\frac{M_2}{M_1}}$.

Two monoatomic ideal gases $1$ and $2$ of molecular masses $M_1$ and $M_2$ respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas $1$ to that in gas $2$ is

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