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CUET · PHYSICS · PYQ PAPER 2023

A convex lens of focal length 10 cm is placed in front of a convex mirror of radius of curvature 14 cm. An object is placed at a distance of 20 cm from convex lens. The distance between the lens and the mirror so that the final image formed by the combination coincides with the object itself will be:

  1. A 26 cm
  2. B 20 cm
  3. C 6 cm
  4. D 14 cm
Verified Solution

Answer & Solution

Correct Answer

(C) 6 cm

Step-by-step Solution

Detailed explanation

\( \frac{1}{v_1} = \frac{1}{10} + \frac{1}{-20} = \frac{1}{20} \) \( v_1 = 20 \text{ cm} \) For coincidence, image \(I_1\) must be at mirror's center of curvature (C). \( d = v_1 - R = 20 - 14 \) \( d = 6 \text{ cm} \)
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