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

Ratio of velocities,
`V_1/V_2=(Aomega_1)/(Aomega_2)=omega_1/omega_2`
`V_1/V_2=(2pilT)/(2pilT_2)=T_2/T_1`
`V_1/V_2=6/3`
`V_1:V_2=2,1`