JEE Main 2023PhysicsKinetic Theory of GasesMediumMCQ

JEE Main 2023 — Kinetic Theory of Gases Question with Solution

JEE Main 2023 (11 Apr Shift 2)

Question

The root mean square speed of molecules of nitrogen gas at 27°C is approximately: (Given mass of a nitrogen molecule =4.6×10-26 kg and take Boltzmann constant kB=1.4×10-23J K-1 )

Choose an option

Show full solutionCorrect option: D
Correct answer
D523 m s-1

Step-by-step explanation

The RMS value of a gas is given by 

vrms=3RTM=3kBTm

Substituting the given values,

vrms=3×1.4×10-23×3004.6×10-26
≈523 m s-1

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About this question

This is a previous-year question from JEE Main 2023, 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.