Two transparent media having refractive indices 1. 0 and 1. 5 are separated by a spherical refracting surface of radius of curvature 30 cm. The centre of curvature of surface is towards denser medium and a point object is placed on the principal axis in rarer medium at a distance of 15 cm from the pole of the surface. The distance of image from the pole of the surface is cm.
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Let's consider the following diagram-
The relation between the object distance, the image distance and the radius of curvature of the spherical surface can be written as
…
Substitute the values of the known parameters into equation and solve to calculate the required image distance.
Hence, the image is formed at a distance of 30 cm from the pole on the same direction as the object is placed.
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