Velocity of sound in air:I. Increases with te | vedclass

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(D) The speed of sound in an ideal gas is given by the formula $v = \sqrt{\frac{\gamma RT}{M}}$.From this relation,it is clear that $v \propto \sqrt{T

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Only $I$ and $IV$ are true

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(D) The speed of sound in an ideal gas is given by the formula $v = \sqrt{\frac{\gamma RT}{M}}$.From this relation,it is clear that $v \propto \sqrt{T}$,meaning the velocity of sound increases with an increase in temperature. Thus,statement $I$ is true.Regarding pressure,for an ideal gas,the density $\rho$ changes proportionally with pressure $P$ at a constant temperature $(P = \rho RT/M)$,such that the ratio $P/\rho$ remains constant. Therefore,the speed of sound is independent of pressure. Thus,statement $IV$ is true.Hence,statements $I$ and $IV$ are correct.

Velocity of sound in air:
$I.$ Increases with temperature
$II.$ Decreases with temperature
$III.$ Increases with pressure
$IV.$ Is independent of pressure
$V.$ Is independent of temperature
Choose the correct answer.

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Velocity of sound in air:$I.$ Increases with temperature$II.$ Decreases with temperature$III.$ Increases with pressure$IV.$ Is independent of pressure$V.$ Is independent of temperatureChoose the correct answer.