Question

An object is placed 250 cm in front of a concave circular mirror, and the image of the object also appears at 250 cm in front of the mirror. What is the radius of curvature of the mirror?

500 cm
125 cm
25.0 cm
250 cm

Answer 1

Radius of curvature of the mirror = 250 cm

Step-by-step explanation:

Given:

Object distance from mirror = 250 cm (u=-250)

Object distance appears in mirror = 250 cm (v=-250)

Find:

Radius of curvature of the mirror

Computation:

Using mirror formula

1/f = 1/v + 1/u

1/f = 1/(-250) + 1/(-250)

f = (-250/2)

f = -125 cm or 125 cm

Radius of curvature of the mirror = 2(f)

Radius of curvature of the mirror = 2(125)

Radius of curvature of the mirror = 250 cm