Physics · Kinetic Theory of Gases

JEE Main 2025 — 28 January, Morning Shift — Question 57

For a particular ideal gas which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?

Option A:
Correct
Option B:
Option C:
Option D:

Answer: A

Step-by-step solution

Sol. ${{V}_{rms}}=\sqrt{\frac{3RT}{M}}$ $\text{V}_{\text{rms}}^{2}=3\text{RT}/\text{M}$ Hence we can conclude that $\text{V}_{\text{rms}}^{2}$ is directly proportional to temperature $\text{y}=\text{mx}$ $\Rightarrow$ Graph will be straight line

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Exam: JEE Main 2025
Paper: 28 January, Morning Shift
Subject: Physics
Chapter: Kinetic Theory of Gases
Topic: Pressure of Gas and Different speeds of Gas Molecules