What is the power in diopters of a convex lens with a focal length of 0.50 meters?

To determine the power of a lens in diopters, you can use the formula:

[ \text{Power (D)} = \frac{1}{\text{Focal Length (m)}}. ]

In this case, the focal length of the convex lens is given as 0.50 meters. Using the formula:

[ \text{Power} = \frac{1}{0.50} = 2.00 \text{ D}. ]

This means that a convex lens with a focal length of 0.50 meters has a power of 2.00 diopters. The positive value indicates that it is a converging lens, which is characteristic of convex lenses.

Understanding the relationship between focal length and lens power is essential in optics, as the power of the lens helps determine how it will bend light rays. The shorter the focal length, the greater the power, which aligns with the behavior of convex lenses.