Q. If the rms velocity of a gas is $v$ ,then
A) $v^{2}T = constant$
B) $\frac{v^{2}}{T} = constant$
C) $vT^{2} = constant$
D) $v\ is\ independent\ of\ T$
Explanation
(b) RMS velocity is given by
$v = \sqrt{\frac{3kT}{m}}\ \ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ \ \ \ v^{2} = \frac{3kT}{m}$
For a gas, k and m are constants.
$\therefore\ \ \ \ \ \ \ \ \ \ \ \ \frac{v^{2}}{T} =$constant
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.