An object is placed at a distance of in front of a concave mirror of focal length . What is the nature and position of the image formed?

Answer and explanation

Correct answer: B. Real, inverted, and located at in front of the mirror

  1. Step 1: For a concave mirror, focal length . The object distance . Note that the radius of curvature , so the object is placed exactly at the Centre of Curvature ().
  2. Step 2: Use the mirror formula: . Magnification . The negative sign indicates a real, inverted image of the same size at ( in front).
Answer
Real, inverted, and located at in front of the mirror.
Why not the others: 'Virtual, erect' occurs only when object is between pole and focus (); 'Located at ' would be at the focus; 'Virtual, inverted' is self-contradictory.

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