Q 11-12-054JEE MainJEE Main 2024 (8 Apr, Shift 2)Easy
Given below are two statements:
Statement (I): The mean free path of gas molecules is inversely proportional to square of molecular diameter.
Statement (II): Average kinetic energy of gas molecules is directly proportional to absolute temperature of gas.
In the light of the above statements, choose the correct answer from the options given below:
Answer: (C) Both Statement I and Statement II are true
Mean free path $\lambda = \dfrac{1}{\sqrt2\,\pi d^2 n}$, so $\lambda \propto \dfrac{1}{d^2}$. Statement I is true.
Average kinetic energy per molecule $= \frac32k_BT$, proportional to absolute temperature. Statement II is true.
Solution by Sreeraj P, M.Sc Physics