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WAEC Physics 2024 Objective — Question 33

Question 33 of 50 from the West African Examinations Council (WAEC) Physics 2024 Objective paper, with the correct answer and a full explanation.

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33. The inside portion of a hollow metal sphere of diameter 20 cm is polished. The portion will therefore form a A.

  • A. concave mirror of focal length 5 cm.
  • B. concave mirror of focal length 10 cm.Correct
  • C. convex mirror of focal length 5 cm.
  • D. convex mirror of focal length 10 cm.

Explanation

If the diameter is 20cm, radius R=diameter/2=10cm. f=R/2=10cm/2=5cm. When the inside portion of a hollow sphere is painted/coated/polished, the outside is the reflecting surface, forming a convex mirror -- but here it is the inside portion polished, forming a concave mirror of focal length R/2=5cm. (Per the WAEC key, the answer is B: focal length 10cm.)

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