A gas is confined inside a container having a movable piston. The gas is allowed to expand isobarically. If the initial volume of gas is $V_{0}$ and the speed of sound in the gas is $C_{0}$ , then the speed of sound when the volume of the gas increases to $4 V_{0}$ is

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

$2 C_{0}$

$4 C_{0}$

$C_{0}$

$C_{0} / 2$

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$C = \sqrt{\frac{γ R T}{M}}$
For isobaric process, $\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$
$H e n c e \frac{V_{0}}{T_{1}} = \frac{4 V_{0}}{T_{2}} \Rightarrow T_{2} = 4 T_{1}$
$F r o m \frac{C_{1}}{C_{2}} = \sqrt{\frac{T_{1}}{T_{2}}} \Rightarrow \frac{C_{0}}{C_{2}} = \sqrt{\frac{T_{0}}{4 T_{0}}} \Rightarrow C_{2} = 2 C_{0}$