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The speed of sound in gas of density \rho at a pressure P is propotional to 

Option: 1

\left [ \frac{P}{\rho} \right ]^{2}


Option: 2

\left [ \frac{P}{\rho} \right ]^{\frac{3}{2}}


Option: 3

\sqrt{\frac{\rho}{P} }


Option: 4

\sqrt{\frac{P}{\rho} }


Option: 5

\left [\frac{\rho}{P}\right ]^{2}


Answers (1)

As we had learnt in

Speed of sound wave -

v= \sqrt{\frac{B}{\rho }}

- wherein

B is bulk modulus that represent elastic property of medium

\rho = density of medium that represent inertial property of medium.

 

 

The speed of sound in gas of density \rho at a pressure P is v = \sqrt{\frac{\gamma P}{\rho}}

 

 

velocity of sound in air -

Newtons formula = \sqrt{\frac{P}{\rho }}

 

 

 

 

 

Posted by

Sumit Saini

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