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  • I have a doubt, kindly clarify. The velocity of sound is vsin air. If the density of air is increased to 4 times, then the new velocity of sound will be

The velocity of sound is vs in air. If the density of air is increased to 4 times, then the new velocity of sound will be 

  • Option 1)vs/2 
  • Option 2)vs/12 
  • Option 3) 12vs 
  • Option 4)  (3/2)(vs)2   
 

Answers (1)

best_answer

V_{sound} \alpha \frac{1}{\rho} \Rightarrow \frac{v_{1}}{v_{2}} = \sqrt{\frac{\rho_{2}}{\rho_{1}}} = \sqrt \frac{4}{1} = 2 \Rightarrow v = \frac{v_{1}}{2} = \frac{v_{s}}{2}

 

velocity of sound in air -

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

Laplace formula (correct value )

= \sqrt{\frac{\gamma P}{\rho }}

-

 

 

 


Option 1)

\frac{v_{s}}{2}

This is correct.

Option 2)

\frac{v_{s}}{12}

This is incorrect.

Option 3)

12v_{s}

This is incorrect.

Option 4)

\frac{3}{2}v_{s}^{2}

This is incorrect.

Posted by

prateek

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