Question

Two particles P and Q start from origin and execute Simple Harmonic Motion along X-axis with same amplitude but with periods 3 seconds and 6 seconds respectively. The ratio of the velocities of P and Q when they meet is

• A. 1 : 2
• B. 2 : 1
• C. 2 : 3
• D. 3 : 2

Answer 1

Answer: (B)

2 : 1

Answer 2

The particles will meet at the mean position when P completes one oscillation and Q completes half an oscillation

So $\frac{v_{P}}{v_{Q}} = \frac{a\omega_{P}}{a\omega_{Q}} = \frac{T_{Q}}{T_{P}} = \frac{6}{3} = \frac{2}{1}$