JEE Physics · Hard

Ray Optics: Lens — Image of Virtual Object MCQ

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

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Lens — Image of Virtual ObjectHardQuestion 20236

Question

A converging beam appears to converge at a point 30 cm behind a concave lens (f = −20 cm). The actual image is at:
  1. A
    12 cm behind the lens
  2. B
    60 cm behind the lens
  3. C
    60 cm in front of the lens
    Correct
  4. D
    At infinity

Correct answer

60 cm in front of the lens

Explanation

Virtual object at u = +30 cm (behind the lens). 1/v = 1/f + 1/u = 1/(−20) + 1/30 = −3/60 + 2/60 = −1/60 → v = −60 cm. The negative image distance places the real image 60 cm in front of the lens.