Two particles P and Q start from origin and execute simple harmonic motion along X-axis with the same amplitude but with period 3 s and 6 s respectivel,y . The ratio of the velocities of P and Q when they meet is,

Options

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

Answer

B

Explanation

The particles will meet at the mean position when p completes one oscillation and Q complete half an oscillation
`(V_(P))/(V_(Q))=(a omega_(P))/(a omega_(Q)) = (T_(Q))/(T_(P)) = (6)/(3) = (2)/(1)`