What is the magnifying power M of a simple microscope (magnifying glass) of focal length f when image is formed at near point D? (Hard)

Answer and explanation

Correct answer: D. 1 + D / f

  1. Step 1: Using the lens formula with image distance v = -D and object within focal length. Step 2. Magnification M = 1 - v / f = 1 - (-D) / f = 1 + D / f. Answer: 1 + D / f. Why not the others: D / f is the magnification when image is formed at infinity (relaxed eye); 1 - D / f has wrong sign; f / D inverts ratio.

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