A light string passing over a smooth light pulley connects two blocks of masses $\mathrm{m}_1$ and $\mathrm{m}_2$ (where $m_2 \gt m_1$). If the acceleration of the system is $\frac{\mathrm{g}}{\sqrt{2}}$, then the ratio of the masses $\frac{m_1}{m_2}$ is:

• Correct answer
  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

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

Hence, the correct answer is option: 'A'.