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Topic 06: Mean Free Path

1. ⇒ (NEET 2020 Phase 1 )

The mean free path for a gas, with molecular diameter d and number density n can be expressed as :

(A) 1 2 n π d 2

(B) 1 2 n 2 π d 2

(C) 1 2 n 2 π 2 d 2

(D) 1 2 n π d

Correct answer is (A)

As per the formula,
λ = 1 2 n π d 2

2. ⇒ (AIPMT 2014 )

The mean free path of molecules of a gas, (radius r) is inversely proportional to

(A) r3

(B) r2

(C) r

(D) r

Correct answer is (B)

Mean free path λ m = 1 2 π d 2 n

where d = diameter of molecule and d = 2r

λ m 1 r 2