$A$ plane wave of sound traveling in air is incident upon a plane surface of a liquid. The angle of incidence is $60^{\circ}.$ The speed of sound in air is $300 \, m/s$ and in the liquid it is $600 \, m/s.$ Assume Snell's law to be valid for sound waves.

  • A
    The wave will refract into liquid away from normal
  • B
    The wave refract into liquid towards the normal
  • C
    The wave will reflect back into air
  • D
    None of these

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Consider the sound wave travelling in ideal gases of $He$,$CH_4$,and $CO_2$. All the gases have the same ratio $\frac{P}{\rho}$,where $P$ is the pressure and $\rho$ is the density. The ratio of the speed of sound through the gases $V_{He}: V_{CH_4}: V_{CO_2}$ is given by

Which one of the following statements is true?

Derive the expression for the speed of a sound wave and obtain the equations for the speed of sound in different media.

Regarding the speed of sound in a gas, match the following:
$A$. Temperature of gas is made $4$ times and pressure $2$ times$P$. Speed becomes $2\sqrt{2}$ times
$B$. Only pressure is made $4$ times without change in temperature$Q$. Speed becomes $2$ times
$C$. Only temperature is changed to $4$ times$R$. Speed remains unchanged
$D$. Molecular mass of the gas is made $4$ times$S$. Speed becomes half

$Assertion :$ The change in air pressure affects the speed of sound.
$Reason :$ The speed of sound in gases is proportional to the square of pressure.

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