Question

The root mean square velocity of a gas molecule of mass m at a given temperature is proportional to

• A. $m^{0}$
• B. m
• C. $\sqrt{m}$
• D. $\frac{1}{\sqrt{m}}$

Answer 1

Answer: (D)

$\frac{1}{\sqrt{m}}$

Answer 2

$v_{rms} = \sqrt{\frac{3kT}{m}} = v_{rms} \propto \frac{1}{\sqrt{m}}$