A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If ${\rm{\mu }}$ 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

${\cos ^{ - 1}}\,\,\left( {\frac{1}{{\rm{\mu }}}} \right)$

${\sin ^{ - 1}}\,\,\left( {\frac{1}{{\rm{\mu }}}} \right)$

${\tan ^{ - 1}}\,\,\left( {\frac{1}{{\rm{\mu }}}} \right)$

${\sin ^{ - 1}}\,\,\left( {\frac{{{\rm{\mu }} - 1}}{{\rm{\mu }}}} \right)$

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JEE PHYSICS MCQ: RAY OPTICS

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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

\mathrm{\mu }

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

View answer and explanation

Correct option: D

{\cos ^{ - 1}}\,\,\left( {\frac{1}{\mathrm{\mu }}} \right)

Option D (

{\cos ^{ - 1}}\left( {\frac{{1}}{\mathrm{\mu }}} \right)

) is correct because it gives the maximum base angle for total internal reflection at the hypotenuse, derived from Snell's law and the critical angle condition.

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