Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

JEE Main 20245 AprilMorning Shift

Exam: JEE Main
Year: 2024
Date: 5 April
Shift: Morning Shift
Subject: Physics
Chapter: Kinetic Theory of Gases

JEE Main 2024 · 5 April · Morning Shift · Physics · Kinetic Theory of Gases

If the collision frequency of hydrogen molecules in a closed...

If the collision frequency of hydrogen molecules in a closed chamber at

27^{\circ} \mathrm{C}

is

\mathrm{Z}

, then the collision frequency of the same system at

127^{\circ} \mathrm{C}

is :

Options

A $\frac{\sqrt{3}}{2} \mathrm{z}$
B $\frac{2}{\sqrt{3}} \mathrm{Z}$
C $\frac{3}{4} \mathrm{Z}$
D $\frac{4}{3} \mathrm{Z}$

Correct answer

B. $\frac{2}{\sqrt{3}} \mathrm{Z}$

Step-by-step solution

Assuming mean free path constant.

\begin{aligned} & \mathrm{f} \propto \mathrm{V} \propto \sqrt{\mathrm{T}} \\ & \frac{\mathrm{f}_1}{\mathrm{f}_2}=\sqrt{\frac{\mathrm{T}_1}{\mathrm{~T}_2}}=\sqrt{\frac{300}{400}} \\ & \mathrm{f}_2=\sqrt{\frac{4}{3}}=\mathrm{f}_1=\frac{2}{\sqrt{3}} \mathrm{Z}\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 2026 Given below are two statements: one is labelled as Assertion A and the other is labelled… JEE Main 2026 Given below are two statements: one is labelled as Assertion A and the other is labelled… JEE Main 2026 One gas of n_1 mole of molecules at temperature T_1 , volume V_1 , and pressure P_1 , and… JEE Main 2026 A mixture of carbon dioxide and oxygen has volume 8310 cm ^3 , temperature 300 K… JEE Main 2026 The mean free path of a molecule of diameter 5 × 10^ -10 ~m at the temperature 41^ ∘ C… JEE Main 2026 A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has… JEE Main 2026 Consider 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