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  • Please help! If at some temperature and pressure, the densities for two diatomic gases are respectively d1and d2, then the ratio of velocities of sound in these gases will be

If at some temperature and pressure, the densities for two diatomic gases are respectively d1 and d2, then the ratio of velocities of sound in these gases will be 

  • Option 1)

    \sqrt{\frac{d_{2}}{d_{1}}}

  • Option 2)

    \sqrt{\frac{d_{1}}{d_{2}}}

  • Option 3)

    d_{1}d_{2}

  • Option 4)

    \sqrt{d_{1}d_{2}}

 

Answers (1)

best_answer

speed of sound v = Speed of sound v = \sqrt{\frac{\gamma P}{d}} \Rightarrow \frac{v_{1}}{v_{2}} = \sqrt{\frac{d_{2}}{d_{1}}} [\because P - constant]

 

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)

\sqrt{\frac{d_{2}}{d_{1}}}

This is correct.

Option 2)

\sqrt{\frac{d_{1}}{d_{2}}}

This is incorrect.

Option 3)

d_{1}d_{2}

This is incorrect.

Option 4)

\sqrt{d_{1}d_{2}}

This is incorrect.

Posted by

divya.saini

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