JEE Main 2015PhysicsKinetic Theory of GasesHardMCQ

JEE Main 2015 — Kinetic Theory of Gases Question with Solution

JEE Main 2015 (10 Apr Online)

Question

In an ideal gas at temperature T, the average force that a molecule applies on the walls of a closed container depends on T as Tq . A good estimate for q is:

Choose an option

Show full solutionCorrect option: C
Correct answer
C1

Step-by-step explanation



Average linear velocity for collision to occur

t=2du

Change in momentum in 1 collision

Δp=2 mu

∴     average force in collision

= Δpt

(u= root mean square speed)

=2 mu2d ×u

⇒    F∝u2

∴     u2 ∝T

⇒    F∝T

⇒   q=1

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About this question

This is a previous-year question from JEE Main 2015, 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.