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

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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