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 at mean position is

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

Answer 1

The correct option is B 2 : 1

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

So $\frac{v_p}{v_Q}=\frac{a{w}_p}{a{w}_Q}=\frac{T_Q}{T_p}=\frac{6}{3}=\frac{2}{1}$