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The displacement-time graphs of two moving particles make angles of 30° and 45° with the x-axis as shown in the figure. If slope of the displacement time graph is velocity then the ratio of their respective velocity is :

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$1 : \sqrt{3}$

$\sqrt{3} : 1$

1:2

1:1

answer is C.

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Detailed Solution

Slope of displacement-time graph is velocity.

$\frac{V_{1}}{V_{2}} = \frac{\tan 30^{\circ}}{\tan 45^{\circ}} = \frac{1}{\sqrt{3}}$

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