Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 20254 AprilMorning Shift
Exam
JEE Main
Year
2025
Date
4 April
Shift
Morning Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2025 · 4 April · Morning Shift · Physics · Kinetic Theory of Gases

The mean free path and the average speed of oxygen molecules at 300...

The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are 3×10−7 m3 \times 10^{-7} \mathrm{~m} and 600 m/s600 \mathrm{~m} / \mathrm{s} respectively. Find the frequency of its collisions.

Options

  1. A2×1010/s2 \times 10^{10} / \mathrm{s}
  2. B9×105/s9 \times 10^5 / \mathrm{s}
  3. C2×109/s2 \times 10^9 / \mathrm{s}
  4. D5×108/s5 \times 10^8 / \mathrm{s}

Correct answer

C. 2×109/s2 \times 10^9 / \mathrm{s}

Step-by-step solution

 Frequency =1T=Vavg λ=6003×157=2×109sec−1\begin{aligned} & \text{ Frequency }=\frac{1}{T}=\frac{V_{\text{avg }}}{\lambda} \\ & =\frac{600}{3 \times 157}=2 \times 10^9 \mathrm{sec}^{-1}\end{aligned}
Practice Kinetic Theory of Gases on Quantrex Academy →

More from Kinetic Theory of Gases

If 2 mole of an ideal monoatomic gas at temperature T , is mixed with 6 mole of another… JEE Main 2026Given below are two statements: one is labelled as Assertion A and the other is labelled… JEE Main 2026Given below are two statements: one is labelled as Assertion A and the other is labelled… JEE Main 2026One gas of n_1 mole of molecules at temperature T_1 , volume V_1 , and pressure P_1 , and… JEE Main 2026A mixture of carbon dioxide and oxygen has volume 8310 cm ^3 , temperature 300 K… JEE Main 2026The mean free path of a molecule of diameter 5 × 10^ -10 ~m at the temperature 41^ ∘ C… JEE Main 2026A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has… JEE Main 2026Consider two boxes containing ideal gases A and B such that their temperatures, pressures… JEE Main 2026 Full Kinetic Theory of Gases list All JEE Main PYQs