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# The velocity of sound in air at 4 atmosphere and that at 1 atmosphere pressure would be (a) 1 : 1 (b) 4 : 1 (c) 1 : 4 (d) 3 : 1

vaibhav patil
18 Points
one year ago
the velocity of sound in  air is depends on tempereture and
there is no effect of pressure

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

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

- 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

A

Vikas TU
14149 Points
one year ago
The ratio is 1. Speed of sound depends only on temperature (and the properties of the gas). It doesn't depend on pressure.