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

Question

Velocity of sound in a gaseous medium is 330 m s -1 . If the pressure is increased by 4 times without change in temperature, the velocity of sound in the gas is (A) 330 m s -1 (B) 660 m s -1 (C) 156 m s -1 (D) 990 m s -1

Tardigrade Admin · Accepted Answer

Velocity of sound in gas, v=√(&gamma; P/ρ)=√(&gamma; R T/M) Pressure has no effect on velocity of sound in a gas as long as temperature remains constant.

Q. Velocity of sound in a gaseous medium is $330 m s^{- 1.}$ If the pressure is increased by $4$ times without change in temperature, the velocity of sound in the gas is

$330 m s^{- 1}$

$660 m s^{- 1}$

$156 m s^{- 1}$

$990 m s^{- 1}$

Velocity of sound in gas, $v = \frac{γ P}{ρ} = \frac{γ RT}{M}$
Pressure has no effect on velocity of sound in a gas as long as temperature remains constant.

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

330ms−1

660ms−1

156ms−1

990ms−1