The separation L between the objective `(f=0.5cm)` and the eyepiece (f=5cm) of a compound microscope is 7 cm. Where should a small object be placed so that the eye is least strained to see the image? Find the angular magnification produced by the microscope.

Explanation

To solve the problem step by step, we will follow the given information and use the appropriate formulas related to a compound microscope.

### Step 1: Understand the Given Information
- Focal length of the objective lens, \( f_o = 0.5 \, \text{cm} \)
- Focal length of the eyepiece, \( f_e = 5 \, \text{cm} \)
- Separation between the objective and eyepiece, \( L = 7 \, \text{cm} \)

### Step 2: Determine the Image Formation Condition
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