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  • Need explanation for: The velocity of sound in air at 4 atmosphere and that at 1 atmosphere pressure would be

The velocity of sound in air at 4 atmosphere and that at 1 atmosphere pressure would be

  • Option 1)

    1 : 1

  • Option 2)

    4 : 1

  • Option 3)

    1 : 4

  • Option 4)

    3 : 1

 

Answers (1)

best_answer

As we learnt in 

Effect of temperature on speed of sound -

\because \frac{P}{\rho }= \frac{RT}{M}

\therefore V= \sqrt{\frac{\gamma RT}{M}}

 

- wherein

V \alpha \sqrt{T}

T is in Kelvin

So velocity increses with increase in temperature.

 

 

 Since V=\sqrt{\frac{\gamma P}{\rho}}=\sqrt{\frac{\gamma RT}{M}}

V is independent of P

\therefore Ratio of velocity = 1:1

 


Option 1)

1 : 1

This option is correct.

Option 2)

4 : 1

This option is incorrect.

Option 3)

1 : 4

This option is incorrect.

Option 4)

3 : 1

This option is incorrect.

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Plabita

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