The displacement-time graph for two particles A and B are s…

Physics Motion in a Straight Line Uniform Motion Single Correct MCQ

Published on: September 12, 2026

The displacement-time graph for two particles A and B are straight lines inclined at angles of 30^\circ and 60^\circ with the time axis. The ratio of velocities of \(\mathbf{V}_{A} \cdot \mathbf{V}_{B}\) is

1:2

\(1 \cdot \sqrt{3}\)

\(\sqrt{3} \cdot 1\)

1:3

Text Solution

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The correct answer is:

\(\frac{v_{A}}{v_{B}} = \frac{\tan \theta_{A}}{\tan \theta_{B}}\) \(= \frac{\tan 30^\circ}{\tan 60^\circ}\) \(= \frac{1/\sqrt{3}}{\sqrt{3}} = \frac{1}{3}\)

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