A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If m is the refractive index of the material of the prism, the maximum value of the base angle for which light is totally reflected from the hypotenuse is [EAMCET 2003]

• A.            \[{{\sin }^{-1}}\left( \frac{1}{\mu } \right)\]               
• B.            \[{{\tan }^{-1}}\left( \frac{1}{\mu } \right)\]
• C.            \[{{\sin }^{-1}}\left( \frac{\mu -1}{\mu } \right)\]    
• D.            \[{{\cos }^{-1}}\left( \frac{1}{\mu } \right)\]