Question

Which of the following graphs correctly represents the variation of speed of sound with temperature in a particular gas?

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

Velocity of sound in a gas is given by
$v=\sqrt{\frac{\gamma RT}{M}}$
For a particular gas $\gamma$ and $M$ remains constant.
So, $v\propto \sqrt{T}$
$\Rightarrow v^2\propto T$
$\Rightarrow v^2=kT$, where $k$ is a constant.
Above equation is similar to equation, $y^2=4ax,$ which represents a parabola symmetrical about x-axis.
Hence, option $\left(d\right)$ is correct.