Q.
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 :$\sqrt{3}$
Explanation
(d) $\frac{tan30{^\circ}}{tan45{^\circ}} = \frac{1}{\sqrt{3}} + 1 = 1:\sqrt{3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.