A parallel beam of light travelling in air (refractive index 1.0) is incident on a convex spherical glass surface of radius of curvature 50 cm . Refractive index of glass is 1.5 . The rays converge to a point at a distance 
from the centre of the curvature of the spherical surface. The value of 
is 
cm .
Text Solution
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(100) For refraction at a single spherical surface, we use the formula: 
Given data:
Refractive index of air 
Refractive index of glass 
Radius of curvature 
(convex surface)
Object is at infinity for a parallel beam, so 
Substituting the values:
The image is formed at a distance of 150 cm from the pole (vertex) of the spherical surface.
The question asks for the distance 
from the centre of curvature.
Distance from centre of curvature 
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