Two beams, A and B whose photon energies are $3.3~\text{eV}$ and $11.3~\text{eV}$ respectively, illuminate a metallic surface (work function $2.3~\text{eV}$) successively. The ratio of maximum speed of electrons emitted due to beam A to that due to beam B is : (A) 3 (B) 9 (C) $\frac{1}{3}$ (D) $\frac{1}{9}$