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NEET PHYSICSEasy

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

A

3:1\sqrt{3} : 1

B

1:11 : 1

C

1:21 : 2

D

1:31 : \sqrt{3}

Step-by-Step Solution

The slope of a displacement-time graph gives the velocity. Therefore, the ratio of velocities is v1v2=tan⁡30∘tan⁡45∘=1/31=1:3\frac{v_1}{v_2} = \frac{\tan 30^\circ}{\tan 45^\circ} = \frac{1/\sqrt{3}}{1} = 1 : \sqrt{3}.

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