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Standard IX

Physics

Factors Affecting Speed of Sound

Two monatomic...

Question

Two monatomic 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 gas 2 is given by

\frac{m_{1}}{m_{2}}

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\sqrt{\frac{m_{1}}{m_{2}}}

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\frac{m_{2}}{m_{1}}

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\sqrt{\frac{m_{2}}{m_{1}}}

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Solution

The correct option is D $\sqrt{\frac{m_{2}}{m_{1}}}$
As $v = \sqrt{\frac{γ R T}{M}} ∴ \frac{v_{1}}{v_{2}} = \sqrt{\frac{m_{2}}{m_{1}}}$

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Two monatomic ideal gases 1 and 2 of molecular masses m1 and m2 respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas 1 to gas 2 is given by

The correct option is D √m2m1As v=√γRTM∴v1v2=√m2m1

Two monatomic 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 gas 2 is given by

The correct option is D $\sqrt{\frac{m_{2}}{m_{1}}}$
As $v = \sqrt{\frac{γ R T}{M}} ∴ \frac{v_{1}}{v_{2}} = \sqrt{\frac{m_{2}}{m_{1}}}$