Q. Two particles $P$ and $Q$ start from origin and execute Simple Harmonic Motion along $X$-axis with same amplitude but with period 3 $seconds\ $and 6 $seconds$ respectively. The ratio of the velocities of the velocities of $P$ and $Q$ when they meet is
A) 1 :2
B) 2 :1
C) 2 :3
D) 3 :2
Explanation
(b) The particle will meet at the mean position when $P$ completes one oscillation and $Q$ completes half an oscillation
$So\ \frac{v_{P}}{v_{Q}} = \frac{a\omega_{P}}{a\omega_{Q}} = \frac{T_{Q}}{T_{P}} = \frac{6}{3} = \frac{2}{1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.