JAMB Physics 1989 Question 26

Question 26

Light and Reflection

The magnification of the image of an object placed in front of a convex mirror is 1/3. If the radius of curvature of the mirror is 24 cm, what is the distance between the object and its image?

  1. A.8 cm
  2. B.16 cm
  3. C.24 cm
  4. D.32 cm
Show the answer and explanation

Answer: D (32 cm)

Explanation

f = 12 cm (virtual). With v = u/3 behind the mirror: 1/u − 3/u = −1/12, so u = 24 cm and v = 8 cm. The image is behind the mirror, so they are 24 + 8 = 32 cm apart.