JEE Main 2023PhysicsKinetic Theory of GasesEasyMCQ

JEE Main 2023 — Kinetic Theory of Gases Question with Solution

JEE Main 2023 (13 Apr Shift 1)

Question

The rms speed of oxygen molecule in a vessel at particular temperature is 1+5x12v, when v is the average speed of the molecule. The value of x will be:

(take π=227)

Choose an option

Show full solutionCorrect option: C
Correct answer
C28

Step-by-step explanation

The RMS speed is given by 

vrms=3RTM

The average speed is given by 

vavg=8RTπM

The ratio is 

⇒vrmsvavg =3RTM8RTπM=3π8=38×227⇒vrmsvavg =3328

Comparing it with the given value 1+5x12,

vrmsvavg =1+528⇒x=28

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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.