The displacement-time graphs of two moving particles make angles of...

The displacement-time graphs of two moving particles make angles of

30^{\circ}

and

45^{\circ}

with the time axis. The ratio of their velocities is The displacement-time graphs of two moving particles make angles of 30^ and 45^ with the time axis. The ratio of their

The displacement-time graphs of two moving particles make angles of 30^ and 45^ with the time axis. The ratio of their

Options

A $\sqrt{3}: 2$
B $1: 1$
C $1: 2$
D $1: \sqrt{3}$

Correct answer

D. $1: \sqrt{3}$

Step-by-step solution

Slope of displacement-time graph gives velocity. The displacement-time graphs of two moving particles make angles of 30^ and 45^ with the time axis. The ratio of their

\begin{aligned} \therefore \frac{v_1}{v_2} & =\frac{\tan \theta_1}{\tan \theta_2} \\ & =\frac{\tan 30^{\circ}}{\tan 45^{\circ}}=\frac{1}{\sqrt{3}}\end{aligned}

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