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Standard XII

Physics

Ideal Gas Equation

Two monoatomi...

Question

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 given by

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Solution

The correct option is B
speed of sound in gases is given by $v = \sqrt{\frac{γ R T}{M}} \Rightarrow v \propto \frac{1}{\sqrt{M}} \Rightarrow \frac{v_{1}}{v_{2}} = \sqrt{\frac{m_{2}}{m_{1}}}$

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Two monoatomic 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 that in gas 2 is given by

The correct option is B speed of sound in gases is given by v=√γ RTM⇒ v ∝1√M⇒v1v2=√m2m1

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The correct option is B
speed of sound in gases is given by $v = \sqrt{\frac{γ R T}{M}} \Rightarrow v \propto \frac{1}{\sqrt{M}} \Rightarrow \frac{v_{1}}{v_{2}} = \sqrt{\frac{m_{2}}{m_{1}}}$