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  • Confused! kindly explain, Velocity of sound measured in hydrogen and oxygen gas at a given temperature will be in the ratio

Velocity of sound measured in hydrogen and oxygen gas at a given temperature will be in the ratio

  • Option 1)

    1:4

  • Option 2)

    4:1

  • Option 3)

    2:1

  • Option 4)

    1:1

 

Answers (2)

best_answer

v \alpha \frac{1}{M} \Rightarrow \frac{v_{H_{2}}}{v_{O_{2}}} = \sqrt{\frac{M_{O_{2}}}{M_{H_{2}}}} = \sqrt{\frac{32}{2}} \Rightarrow \frac{v_{H_{2}}}{v_{O_{2}}} = \frac{4}{1}

 

Effect of density on speed of sound -

\frac{V_{1}}{V_{2}}= \sqrt{\frac{\gamma _{1}}{\gamma _{2}}\times \frac{\rho _{2}}{\rho _{1}}}

 

- wherein

\gamma _{1}\; and\; \gamma_{2} are ratio of specific heat.

\rho _{1}\; and\; \rho _{2} are densities.

 

 

 


Option 1)

1:4

This is incorrect.

Option 2)

4:1

This is correct.

Option 3)

2:1

This is incorrect.

Option 4)

1:1

This is incorrect.

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