The displacement-time graphs of two moving particles make angles of 30 ° and 45 ° with the x-axis as shown in the figure. The ratio of their respective velocity is (a) √(3): 1 (b) 1: 1 (c) 1: 2 (d) 1: √(3)

Answer: (d). Velocity = slope of displacement-time graph = tan θ (v₁)/(v₂) = (tan 30°)/(tan 45°) = (1/√(3))/(1) So the ratio is (d) 1: √(3).

The displacement-time graphs of two moving particles make angles of… | NEET 2022 (Phase 1)

Q21NEET 2022 · PHASE 1Easy

Graphs of Motion

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

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Answer: (d)

Velocity = slope of displacement-time graph $= \tan\theta$
$\dfrac{v_1}{v_2} = \dfrac{\tan 30^\circ}{\tan 45^\circ} = \dfrac{1/\sqrt{3}}{1}$
So the ratio is (d) $1 : \sqrt{3}$ .

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