A spring is compressed between two blocks of masses $m_1$ and $m_2$ placed on a horizontal frictionless surface as shown in the figure. When the blocks are released, they have initial velocity of $v_1$ and $v_2$ as shown. The blocks travel distances $x_1$ and $x_2$ respectively before coming to rest. The ratio $\left(\frac{x_1}{x_2}\right)$ is

• Correct answer
  A

  $\frac{m_2}{m_1}$
• B

  $\frac{m_1}{m_2}$
• C

  $\sqrt{\frac{m_2}{m_1}}$
• D

  $\sqrt{\frac{m_1}{m_2}}$

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