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  • The displacement time graphs of two moving particles make angles of  and <img alt="45^{\circ}" src="/latex-image/?45%5E%7B%5

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 ratios of their respective velocity are

Option: 1

1:1


Option: 2

1:2


Option: 3

1:\sqrt{3}


Option: 4

\sqrt{3}:1


Answers (1)

best_answer

For the displacement-time graph,
Slope = velocity
\begin{aligned} \therefore V_{1} &=(\text { slope })_{1}=\tan 30^{\circ} \\ V_{2} &=(\text { slope })_{2}=\tan 45^{\circ} \\ & \frac{V_{1}}{V_{2}}=\frac{\tan 30^{\circ}}{\tan 45^{\circ}}=\frac{1}{\sqrt{3}} \end{aligned}
 

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chirag

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