
A spherical surface separates two media of refractive indices 1 and 1.5 as shown in figure. Distance of the image of an object '
', is:
( C is the center of curvature of the spherical surface and
is the radius of curvature)
Text Solution
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To determine the image distance when a spherical surface separates two media with refractive indices of 1 and 1.5:
Use the lens maker's formula for a spherical surface:

Where:
(refractive index of the first medium)
(refractive index of the second medium)
(object distance, negative as per convention)
(radius of curvature)
Substituting the known values:

Simplify the equation:

Calculate:

Solve for
:

The negative sign indicates that the image is 0.4 meters to the left of the spherical surface.
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