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The aperture diameter of a spherical mir...

The aperture diameter of a spherical mirror is `D = etaR` where `eta` is a positive number less than 2 and R is radius of curvature of the mirror. Consider a wide parallel beam of light incident on the mirror parallel to its principal axis.
(a) Find minimum value of h for which marginal rays start getting reflected twice.
(b) Find minimum value of h for which marginal rays undergo three reflections.

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