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JEE Main 201226 MayOnline
Exam
JEE Main
Year
2012
Date
26 May
Mode
Online
Subject
Chemistry
Chapter
States of Matter

JEE Main 2012 · 26 May · Online · Chemistry · States of Matter

The relationship among most probable velocity, average velocity and...

The relationship among most probable velocity, average velocity and root mean square velocity is respectively

Options

  1. A2:3:8/π\sqrt{2}: \sqrt{3}: \sqrt{8 / \pi}
  2. B2:8/π:3\sqrt{2}: \sqrt{8 / \pi}: \sqrt{3}
  3. C8/π:3:2\sqrt{8 / \pi}: \sqrt{3}: \sqrt{2}
  4. D3:8/π:2\sqrt{3}: \sqrt{8 / \pi}: \sqrt{2}

Correct answer

B. 2:8/π:3\sqrt{2}: \sqrt{8 / \pi}: \sqrt{3}

Step-by-step solution

Most probable speed (C∗)=2RTM\left(C^*\right)=\sqrt{\frac{2 R T}{M}} Average speed (Cˉ)=8RTπM(\bar{C})=\sqrt{\frac{8 R T}{\pi M}} Root mean square velocity (C)=3RTMC∗:Cˉ:C=2:8π:3(C)=\sqrt{\frac{3 R T}{M}} C^*: \bar{C}: C=\sqrt{2}: \sqrt{\frac{8}{\pi}}: \sqrt{3}
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