The circular boundary of the concave mirror subtends a cone of half angle θ at its centre of curvature. The minimum value of θ for which ray incident on this mirror parallel to the principle axis suffers more than one reflection is
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An incident ray that is parallel to the principal axis will suffer multiple reflections from the mirror only when it is incident on 1 part of the mirror, reflects perpendicularly and goes on to intersect the other part. Thus, this is only possible when angle of incidence is 45
0
Thus, 45
0
+ θ+
2
π
=π
Thus, θ=45
0
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