JEE Main 2019 — Kinetic Theory of Gases Question with Solution
JEE Main 2019 (12 Apr Shift 2)
Question
The number density of molecules of a gas depends on their distance r from the origin as, Then the numer of molecules is proportional to:
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Density of molecules of gas as a of r is,
Total no. of molecules
To integrate this, substitute this will give us
Now, the integration will become,
This shows that the numer of molecules is proportional to
Total no. of molecules
To integrate this, substitute this will give us
Now, the integration will become,
This shows that the numer of molecules is proportional to
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This is a previous-year question from JEE Main 2019, 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.