Question

The magnifying power of a simple microscope is inversely proportional to its focal length \( f \) and it is maximum when image is formed at \( D = \) Distance of distinct vision (DDV).

• A. a distance greater than DDV.
• B. DDV.
• C. a distance less than DDV.
• D. infinity.

Hint:

The magnifying power of a microscope is maximum when the image is formed at the distance of distinct vision, as the focal length is inversely proportional to it.

Answer 1

The Correct Option is B

Step 1: Understanding the relationship.
The magnifying power \( M \) of a simple microscope is given by: \[ M = 1 + \frac{D}{f} \] where \( D \) is the distance of distinct vision, and \( f \) is the focal length of the lens. The magnifying power is maximum when the image is formed at the distance of distinct vision \( D \).
Step 2: Conclusion.
Thus, the magnifying power is maximum when the image is formed at DDV, corresponding to option (B).