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Physics · Kinetic Theory of Gases

JEE Main 2024 — 8 April, Shift 2 — Question 35

Given below are two statements :

Statement (I) : The mean free path of gas molecules is inversely proportional to square of molecular diameter.

Statement (II) : Average kinetic energy of gas molecules is directly proportional to absolute temperature of gas. In the light of the above statements, choose the correct answer from the option given below:

  1. Option A:

    Statement I is false but Statement II is true.

  2. Option B:

    Statement I is true but Statement II is false.

  3. Option C:

    Both Statement I and Statement II are false

  4. Option D:

    Both Statement I and Statement II are true.

    Correct

Answer: D

Step-by-step solution

λ=RT2π d2 NAP\lambda=\frac{R T}{\sqrt{2} \pi \mathrm{~d}^{2} \mathrm{~N}_{\mathrm{A}} \mathrm{P}}

KE=f2nRT\mathrm{KE}=\frac{\mathrm{f}}{2} \mathrm{nRT}

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Paper
8 April, Shift 2
Subject
Physics
Chapter
Kinetic Theory of Gases
Topic
Energy of Gas and Gas Laws and Miscellaneous Problems
Given below are two statements : Statement (I) : The mean free path… | JEE Main 2024 PYQ with Solution · DhiX AI