Question

A curved steel ball forms an image of an object at 21 cm behind from face one and at 7 cm behind from the opposite face. Find the radius of curvature of the ball.

A) 14 cm
B) 21 cm
C) 7 cm
D) 28 cm

Answer 1

The radius of curvature of the ball is 14 cm.

Step-by-step explanation:

To find the radius of curvature of the ball, we can use the mirror formula: 1/f = 1/v - 1/u, where f is the focal length, v is the distance of the image from the mirror, and u is the distance of the object from the mirror. In this case, we have v = -21 cm and u = -7 cm. Plugging these values into the formula, we get 1/f = 1/(-21) - 1/(-7). Solving for f, we find that the radius of curvature of the ball is 14 cm.