Question

The displacement-time graphs of two moving particles make angles of $30^{\circ}$ and $45^{\circ}$ with the $x$ -axis. The ratio of the two velocities is

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

Answer 1

Answer: (D)

The slope of the line in displacement-time graph is the velocity.
Slope $=\tan \theta$
Here, $\frac{v_{1}}{v_{2}}=\frac{\tan 30^{\circ}}{\tan 45^{\circ}}=\frac{1}{\sqrt{3}}$.