A compound microscope is used to enlarge an object kept at a distance 0.03m from its objective which consists of several convex lenses in contact and has focal length 0.02m. If a lens offocal length 0.1m is removed from the objective, find out the distance by which the eyepiece of the microscope must be moved to refocus the image?

Explanation

To solve the problem, we will follow these steps:

### Step 1: Determine the effective focal length of the objective lens before removing the lens.

The effective focal length \( f_o \) of the objective lens system can be calculated using the formula for lenses in contact:

\[
\frac{1}{f_o} = \sum \frac{1}{f_i}
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