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A transparent semicylinder has refractiv...

A transparent semicylinder has refractive index `mu = sqrt(2)` . A parallel beam of light is incident on its plane surface making an angle of `45°` with the surface. The incident beam extends from O to A on the plane surface. Find the maximum width OA (in terms of radius R of the cylinder) so that no ray suffers total internal reflection at the curved surface. [O is the centre of the circular cross section of the cylinder]

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The correct Answer is:
`sqrt((2)/(3))R`
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ARIHANT-GEOMETRICAL OPTICS-Level 2
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