Question

Velocity of sound in a gaseous medium is 330ms^-1. If the pressure is increased by 4 times without causing a change in the temperature,the velocity of sound in gas is

Answer 1

$v = \sqrt{ \frac{ \gamma p}{density} }$

$\frac{330}{v2} = \ \sqrt{ \frac{p}{4p} } \\ \frac{330}{v2} = \ \ \sqrt{ \frac{1}{4} } \\ \frac{330}{v2} = \frac{1}{2} \\ v2 = 660 \frac{m}{s}$

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