$A$ 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$\frac{\sqrt{2}-1}{\sqrt{2}+1}$
- B$\frac{1+\sqrt{5}}{\sqrt{5}-1}$
- C$\frac{1+\sqrt{5}}{\sqrt{2}-1}$
- D$\frac{\sqrt{3}+1}{\sqrt{2}-1}$
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