JEE Main 2014PhysicsKinetic Theory of GasesMediumMCQ

JEE Main 2014 — Kinetic Theory of Gases Question with Solution

JEE Main 2014 (19 Apr Online)

Question

A gas molecule of mass M at the surface of the earth has kinetic energy equivalent to 0 °C. If it were to go up straight without colliding with any other molecules, how high it would rise? Assume that the height attained is much less than the radius of the earth. (kB is Boltzmann constant)

Choose an option

Show full solutionCorrect option: B
Correct answer
B819kB2Mg

Step-by-step explanation

Mgh=12Mvrms2

=12M3kTm

⇒vrms2=819kM

Now apply v2=u2−2gh  undefined

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About this question

This is a previous-year question from JEE Main 2014, 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.