Question

The root mean square velocity of molecules of gas is

• A. Inversely proportional to square root of temperature $\left(\sqrt{\frac{1}{T}}\right)$
• B. Proportional to square root of temperature $(\sqrt{T})$
• C. Proportional to square of temperature $\left(T^2\right)$
• D. Proportional to temperature (T)

Answer 1

Answer: (B)

The rms speed of a gas molecule is
$V_{RMS}=\sqrt{\frac{3RT}{M}}$
$V_{RMS}\propto \sqrt{T}$