Home Physics Ray Optics JEE Main 2025 A spherical surface separates two media of …
Physics Ray Optics JEE Main 2025 MCQ (Single Correct)

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)

A
0.24 m left to the spherical surface
B
0.24 m right to the spherical surface
C
0.4 m left to the spherical surface
D
0.4 m right to the spherical surface

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Text Solution

Verified by Experts
The correct answer is:
C

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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