Two converging lenses of focal lengths 1.5 cm and 6 cm are chosen to design a compound microscope. It is desired to have a magnification of 25. Calculate the required separation between the objective and the eyepiece.

Explanation

To solve the problem of finding the required separation between the objective and the eyepiece of a compound microscope designed with two converging lenses, we can follow these steps:

### Step 1: Identify the given values
- Focal length of the objective lens, \( F_O = 1.5 \, \text{cm} \)
- Focal length of the eyepiece lens, \( F_E = 6 \, \text{cm} \)
- Desired magnification, \( M = 25 \)

### Step 2: Write the formula for magnification of a compound microscope
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