KEAM 2014 Physics and Chemistry Paper

We know that, Thermal equilibrium and kinetic interpretation of temperature
v2=‌

3RT

M

Vrms=√‌

3RT

M

So, Vrms∝√T
and ‌‌Vrms∝‌

1

√m

The root mean square speed of the molecules of a gas is directly proportional to the square root of the absolute temperature of the gas and inversely proportional to the square root of the
Vrms=m−1/2×T1/2