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Q.

The position-time graph of two particles P and Q are as shown in the figure. The ratio of their velocities $\frac{V_{P}}{V_{Q}}$ is

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a

$1 : 3$

b

$3 : 1$

c

$1 : \sqrt{3}$

d

$\sqrt{3} : 1$

answer is A.

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Detailed Solution

$\frac{V_{P}}{V_{Q}} = \frac{\tan 30^{0}}{\tan 60^{0}} = \frac{1}{3}$

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The position-time graph of two particles P and Q are as shown in the figure. The ratio of their velocities VPVQis