When the rms velocity of a gas is denoted by $V$, which of the following relation is true? ( $T=$ absolute…
When the rms velocity of a gas is denoted by $V$, which of the following relation is true? ( $T=$ absolute temperature of the gas)
$\frac{V^2}{T}=$ constant
$V T^2=$ constant
$\frac{V}{T^2}=$ constant
$V^2 T=$ constant
Solution
RMS velocity is given by
$\begin{aligned} V & =\sqrt{\frac{3 k T}{m}} \\ V^2 & =\frac{3 k T}{m}\end{aligned}$
For a gas, $k$ and $m$ are constants, so option A is true.