Problem 18P

A section of a sphere has a radius of curvature of 0.86 m. If this section is painted with a reflective coating on both sides, what is the focal length of (a) the convex side and (b) the concave side?

Solution 18P

Step 1 of 2

(a)

Here we need to determine the focal length of the convex side. A portion of the sphere is having a radius of and painted with a reflective coating on both sides.

The focal length of the convex side is given by,

Substituting ,

Therefore, the focal length of the convex side is -43 cm.