Draw the labelled ray diagram for the formation of image by a compound microscope.
Derive the expression for the total magnification of a compound microscope. Explain why both the objective and the eyepiece of a compound microscope must have short focal lengths.

Explanation

### Step-by-Step Solution

#### Step 1: Draw the Ray Diagram
1. **Draw the Optical Axis**: Start by drawing a horizontal line to represent the optical axis of the compound microscope.
2. **Position the Objective Lens**: Draw the objective lens (a convex lens) on the left side of the optical axis. Label it as "Objective Lens (F₀)".
3. **Position the Eyepiece Lens**: Draw the eyepiece lens (another convex lens) to the right of the objective lens. Label it as "Eyepiece Lens (Fₑ)".
4. **Draw the Object**: Place a small object (AB) between the objective lens and its focal point. Label the object as "Object (A B)".
5. **Draw Rays from the Object**:
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