JAMB 2012 Physics · Question 14

The magnification of an object 2cm tall when placed 10cm in front of a plane mirror is

Options

  1. A.6.0
  2. B.1.0
  3. C.0.7
  4. D.0.6

Answer: B. 1.0

Explanation written with AI and checked against the answer key

Analyze the question: An object 2 cm tall is placed 10 cm in front of a plane mirror. We need the magnification.

Concept: A plane mirror forms a virtual, upright image that is the same size as the object. The image is as far behind the mirror as the object is in front of it.

Magnification is:

m = image height / object height = image distance / object distance (magnitudes)

Solution:

  • Object distance, u = 10 cm
  • Image distance, v = 10 cm (behind the mirror, virtual)
  • Object height = 2 cm
  • Image height = 2 cm

m = h_i / h_o = 2 / 2 = 1

Or using distances: m = v/u = 10/10 = 1

Answer: The magnification is 1.0, which is option B.

Tip: For any plane mirror, the magnification is always 1, no matter the object's height or distance. The numbers in the question (2 cm, 10 cm) are distractors. Remember: plane mirror → image same size, same distance behind, virtual, upright, laterally inverted.

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