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

Velocity

\mathrm{v}=\frac{\text{ displacement }(\mathrm{s})}{\text{ time }(\mathrm{t})}

From given s-t graph

\frac{\mathrm{V}_{\left(30^{\circ}\right)}}{\mathrm{V}_{\left(45^{\circ}\right)}}=\frac{\tan 30^{\circ}}{\tan 45^{\circ}}=\frac{1 / \sqrt{3}}{1}=1: \sqrt{3}

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