A smooth steel ball strikes a fixed smooth steel plate at an angle $\mathrm{\alpha }={45}^0$  with the vertical. If coefficient of restitution is $\mathrm{e}=\frac{1}{\sqrt{3}},$  the angle at which the rebound will take place is

• A

  ${60}^0$

• B

  ${\tan }^{-1}\left(\frac{1}{2\sqrt{3}}\right)$

• C

  ${\sin }^{-1}\left(\frac{1}{\sqrt{3}}\right)$

• D

  ${30}^0$