JEE Main 2022PhysicsKinetic Theory of GasesEasyMCQ

JEE Main 2022Kinetic Theory of Gases Question with Solution

JEE Main 2022 (25 Jun Shift 1)

Question

The relation between root mean square speed vrms  and most probable speed vp for the molar mass M of oxygen gas molecule at the temperature of 300 K will be 

Choose an option

Show full solutionCorrect option: C
Correct answer
Cvrms=32vp

Step-by-step explanation

RMS speed of O2 gas is vrms=3RTM=3RT32 and most probable speed of O2 gas is vmost probable=2RTM=2RT32.

Here temperature is same.

Thus, vrmsvmost probable=3RT322RT32=32

Hence, vrms=32vp

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Kinetic Theory of Gases chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2022, covering the Kinetic Theory of Gases chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.