A plastic hemisphere has a radius of curvature of 8 cm and an index of refraction of 1.2. On the axis half way between the plane surface and the spherical one (4 cm from each) is a small object O. The distance between two images when viewed along the axis from the two sides of the hemisphere is approximately in cm.
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Ans. 1
Sol.
image distance from AB plane face
= 
= 
= 
= 3.3 cm
image distance from AB curved surface = x
– 
= 
+ 0.3 = 
= 
– 
= 
x = 
= 3.6 cm
distance between images = 8 – (3.3 + 3.6) = 1 cm.
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