A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel t...

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A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If \( n \) 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) \( \sin ^{-1}\left(\frac{1}{n}\right) \)
(b) \( \tan ^{-1}\left(\frac{1}{n}\right) \)
(c) \( \sin ^{-1}\left(\frac{n-1}{n}\right) \)
(d) \( \cos ^{-1}\left(\frac{1}{n}\right) \)
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