Trace the rays of light showing the formation of an image due to a point object placed on the axis of a spherical surface separating the two media of refractive indices `n_(1) and n_(2)`. Establish the relation between the distance of the object, the image and the radius of curvature from the central point of the spherical surface.
Hence derive the expression of the lens maker's formula

Explanation

To solve the problem of tracing the rays of light and establishing the relationship between the distances of the object, image, and the radius of curvature of a spherical surface separating two media of refractive indices \( n_1 \) and \( n_2 \), we will follow these steps:

### Step 1: Diagram Setup
1. **Draw the Spherical Surface**: Start by drawing a spherical surface with the center of curvature \( C \) and the pole \( P \).
2. **Label the Media**: Indicate the denser medium (with refractive index \( n_2 \)) on one side of the spherical surface and the rarer medium (with refractive index \( n_1 \)) on the other side.
3. **Place the Object**: Position the point object \( O \) on the principal axis at a distance \( U \) from the pole \( P \).

### Step 2: Ray Tracing
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