A ray of light is incident on a surface of glass slab at an angle 45°. If the lateral shift produced per unit thickness is \(\frac{1}{\sqrt{3}}\) m, the angle of refraction produced is
1
\({{\tan }^{-1}}\left( 1-\sqrt{\frac{2}{3}} \right)\)
2
\({{\sin }^{-1}}\left( 1-\sqrt{\frac{2}{3}} \right)\)
3
\({{\tan }^{-1}}\left( \sqrt{\frac{2}{\sqrt{3-1}}} \right)\)
4
\({{\tan }^{-1}}\left( \frac{\sqrt{3}}{2} \right)\)
5
Question Not Attempted