Single correct option
The base of a vessel is a plane mirror. Water (refractive index ) of depth lies on the mirror and is covered by a floating oil layer (refractive index ) of thickness . A small bright object is held in air above the oil surface. Viewed from directly above (paraxial rays), the image formed by the mirror appears at a depth below the oil surface of
- A.
- B.
- C.
- D.
Show answer and solution
Answer: (C)
For near-normal viewing a layer of thickness and index appears to have thickness . The mirror therefore appears at depth below the oil surface. The mirror forms an image of the object as far behind it as the object is in front, in apparent terms: the object is above the surface, i.e. in front of the apparent mirror. The image therefore appears behind the apparent mirror, at a depth below the oil surface. Ignoring the refraction gives the trap cm.
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