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COMEDK2022PhysicsRay Optics

A plane glass mirror of thickness 3 cm of material of = 3 2 is silvered on the back surface. When a point object is placed 9 cm from the front surface of the mirror, then the position of the brightest image from the front surface is

Options

  1. A9 ~cm
  2. B11 ~cm
  3. C12 ~cm
  4. D13 ~cm

Correct answer

D. 13 ~cm

Step-by-step solution

The brightest image is formed by light that refracts into the glass, reflects from the silvered back surface, and refracts back out. Refraction at front surface: Apparent distance of object from front surface as seen inside glass: u' = u = 3 2 9 = 13.5 cm Reflection at silvered back surface: Distance of apparent object from back mirror = 13.5 + 3 = 16.5 cm Plane mirror forms image 16.5 cm behind the back surface. Distance of this image from the front surface (inside glass) = 16.5 + 3 = 19.5 cm Refraction back out a

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