Q. The displacement- time graph for two particles $A$ and $B$ are straight lines inclined at angles of $30{^\circ}$ and $60{^\circ}$ with the time axis. The ratio of velocities of $V_{A}:V_{B}$ is
A) $1:2$
B) $1:\sqrt{3}$
C) $\sqrt{3}:1$
D) $1:3$
Explanation
(d) $\frac{v_{A}}{v_{B}} = \frac{\tan\theta_{A}}{\tan\theta_{B}} = \frac{\tan{30{^\circ}}}{\tan{60{^\circ}}} = \frac{1/\sqrt{3}}{\sqrt{3}} = \frac{1}{3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.