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Physics · PYQ NEET UG 2022

हिन्दी

The displacement-time graphs of two moving particles make angles of \( 30^\circ \) and \( 45^\circ \) with the x-axis as shown in the figure. The ratio of their respective velocity is:

  1. 1 : 2
  2. \( 1 : \sqrt{3} \)
  3. \( \sqrt{3} : 1 \)
  4. 1 : 1

Correct answer · Option 2

\( 1 : \sqrt{3} \)

Explanation

Velocity is given by the slope of the displacement-time graph, \( v = \tan\theta \). The ratio of velocities is \( \frac{v_1}{v_2} = \frac{\tan 30^\circ}{\tan 45^\circ} = \frac{1/\sqrt{3}}{1} = \frac{1}{\sqrt{3}} \).
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