JEE Physics · Medium

Ray Optics: Compound Microscope — Magnification MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Compound Microscope — MagnificationMediumQuestion 20232

Question

Magnifying power of a compound microscope (objective f_o, eyepiece f_e, tube length L) for image at infinity is approximately:
  1. A
    (L/f_o)(D/f_e)
    Correct
  2. B
    (L+f_o)(D/f_e)
  3. C
    (D/f_o)(L/f_e)
  4. D
    (f_o/L)(D/f_e)

Correct answer

(L/f_o)(D/f_e)

Explanation

M = m_o × M_e ≈ (L/f_o) × (D/f_e) for image at infinity. Short f_o and f_e → high magnification. The objective forms a real magnified image; the eyepiece acts as a simple microscope magnifying that image.