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A point source of source of light S is kept on the axis of a cone of radius r and height h as shown in the figure. The inner surface of cone is made reflecting. Determine the minimum value semi-vertical angle $α$ in degrees of the cone for which the rays emitted from source (S) on the axis of the cone will be reflected from conical surface not more than once.

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$60^{\circ}$

$55^{\circ}$

$65^{\circ}$

$70^{\circ}$

answer is A.

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Detailed Solution

$α = 60^{\circ}$

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