Two boxes A and B contain equal number of molecules of the same gas. If the volumes are V_A and V_B , and λ_A and λ_B denote respective mean free paths, then 

The correct answer is option 2.

Concept:

• A molecule's average distance between collisions is known as the mean free path of a gas.
• The density of the gas affects it, and as a result, it is influenced by factors like temperature (T), pressure (P), and volume (V).
• The mean free path of a gas, under ideal circumstances and assuming that the gas in the boxes is the same, is inversely proportional to the gas's pressure, which is directly proportional to the number of molecules per unit volume.
• Therefore, as volume grows, the number of molecules per unit volume drops. Fewer collisions equal a longer mean free route.

Explanation:

• The same gas has an equal number of molecules in Box A and Box B. Boxes A and B's volumes are VA and VB, while A and B stands for the boxes' respective mean free pathways.


• As a result, the ratio of the two boxes' volumes will be reflected in the mean free pathways of the gas molecules in each box.Hence, The correct option is 2.