Two particles A and B of masses 'm' and '2m' are suspended from two mass less springs of force constants $K_1$ and $K_2$. During their oscillation, if their maximum velocities are equal, then ratio of amplitudes of A and B is

Question

\[(a)\;\frac{K_1}{K_2} \quad (b)\;\frac{K_2}{2K_1} \quad (c)\;\frac{K_2}{K_1} \quad (d)\;\frac{2 K_1}{K_2} \]