The mean free path and average speed of oxygen molecules at 300 K and 1 atm are 3×10⁻⁷ m and 600 m/s respectively. The frequency of molecular collisions is:
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Question

The mean free path and average speed of oxygen molecules at 300 K and 1 atm are 3×10⁻⁷ m and 600 m/s respectively. The frequency of molecular collisions is:

G1 Physics · Accepted Answer

Mean free path is related to mean collision time τ by λ = v̄τ. Therefore, τ = λ/v̄, and collision frequency is f = 1/τ = v̄/λ. Substitute: f = 600/(3×10⁻⁷) = 200×10⁷ = 2×10⁹ s⁻¹. Correct option: A.