Question:

Identify the correct labels of A,B and C in the following graph from the options given below :


Root mean square speed (Vrms); most probable speed (Vmp); Average speed (Vav)

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Maxwell distribution: \(v_{mp}\lt v_{av}\lt v_{rms}\) with ratio \(\sqrt2:\sqrt{8/\pi}:\sqrt3\).
Updated On: Oct 31, 2026
  • A - Vav ; B - Vrms ; C - Vmp
  • A - Vrms ; B - Vmp ; C - Vav
  • A - Vmp; B- Vav; C - Vrms
  • A - Vmp ; B - Vrms ; C - Vav
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The Correct Option is C

Solution and Explanation

Step 1: The three characteristic speeds are \(v_{mp}=\sqrt{2RT/M}\), \(v_{av}=\sqrt{8RT/\pi M}\), \(v_{rms}=\sqrt{3RT/M}\).
Step 2: Numerically \(v_{mp}:v_{av}:v_{rms}=1.414:1.596:1.732\), so \(v_{mp}\lt v_{av}\lt v_{rms}\).
Step 3: In the graph, A is at the peak of the curve (most probable speed) and the lines to its right are B then C in increasing speed. Hence A = Vmp, B = Vav, C = Vrms.
Answer: (C) A - Vmp; B - Vav; C - Vrms
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