JEE Main 2023PhysicsKinetic Theory of GasesEasyMCQ

JEE Main 2023 — Kinetic Theory of Gases Question with Solution

JEE Main 2023 (29 Jan Shift 2)

Question

At 300 K, the rms speed of oxygen molecules is α+5α times to that of its average speed in the gas. Then, the value of α will be (use π=227)

Choose an option

Show full solutionCorrect option: B
Correct answer
B28

Step-by-step explanation

RMS speed is given by, vrms=3RTM and average speed is given by, vavg=8πRTM.

As per question,

vrms=α+5αvavg

⇒3RTM=α+5α8πRTM

⇒3=α+5α×8227

⇒α=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.