A child has a near point at 10 cm . Determine the maximum angular...

The maximum angular magnification of a simple microscope is obtained when the final image is formed at the near point of the eye.

The formula for maximum angular magnification is given by:

$m = 1 + \dfrac{D}{f}$

where $D$ is the near point distance and $f$ is the focal length of the convex lens.

Given:

$D = 10 \text{ cm}$

$f = 10 \text{ cm}$

Substituting the values into the formula:

$m = 1 + \dfrac{10}{10}$

$m = 1 + 1 = 2$