AIIMS 2019 Physics Maxwell's Distribution MCQ Question

In Maxwell's speed distribution, the average relative velocity between two nitrogen (N₂) molecules at 300 K can be calculated using the formula $v_{\text{rel}} = \sqrt{2} \cdot v_{\text{avg}}$, where $v_{\text{avg}}$ is the average speed of the molecules. For N₂ at this temperature, $v_{\text{avg}}$ is approximately 430 m/s, leading to an average relative velocity of about 610 m/s, which corresponds to option B. Options A (300 m/s) and D (zero) underestimate the kinetic energy of the gas molecules, while option C (920 m/s) overestimates it, failing to align with the derived average relative velocity for N₂ at the given temperature.