A light string passing over a smooth light pulley connects two blocks of masses $$m_1$$ and $$m_2$$ (where $$m_2>m_1$$). If the acceleration of the system is $$\frac{g}{\sqrt{2}}$$, then the ratio of the masses $$\frac{m_1}{m_2}$$ is:

A

$$\frac{1+\sqrt{5}}{\sqrt{5}-1}$$

B

$$\frac{\sqrt{2}-1}{\sqrt{2}+1}$$

C

$$\frac{1+\sqrt{5}}{\sqrt{2}-1}$$

D

$$\frac{\sqrt{3}+1}{\sqrt{2}-1}$$