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Question

One end of a cylindrical glass rod ends in a hemispherical surface of radius R=20mm. Find the image distance (in mm) of a point object on the axis of the rod, 80mm to the left of the vertex. The rod is in air.
  1. 120

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Solution

The correct option is A 120
Given:
μ1=1
μ2=1.5
R=+20mm
u=80mm

Equation of refraction of light at curved surfaces is given as:
μ2vμ1u=μ2μ1R
1.5v180=1.5120
v=+120 mm
The image is formed at distance of 120mm and is hence, real.

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