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COMEDK · Physics · 25. Ray Optics

A fish in water (refractive index \(n\) ) looks at a bird vertically above in the air. If \(y\) is the height of the bird and \(x\) is the depth of the fish from the surface, then the distance of the bird as estimated by the fish is

  1. A \(x+y\left(1-\dfrac{1}{n}\right)\)
  2. B \(x+y\left(1+\dfrac{1}{n}\right)\)
  3. C \(x+n y\)
  4. D \(y+x\left(1-\dfrac{1}{n}\right)\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(x+n y\)

Step-by-step Solution

Detailed explanation

The fish is at a depth \(x\) below the water surface. The bird is at a height \(y\) above the water surface. When an observer in a medium of refractive index \(n_1\) looks at an object in a medium of refractive index \(n_2\), the apparent depth or height is given by the formula…