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KCET2016PhysicsRay Optics

A ray of light passes through four transparent media with refractive index ( n₁, n₂, n₃ ) and ( n₄ ) as shown. The surfaces of all media are parallel If the emergent ray ( D E ) is parellel to incident ray ( A B ), then

Options

  1. A( n₁=n₄ )
  2. B( n₂=n₄ )
  3. C( n₃=n₄ )
  4. D( n₁= n₂+n₃+n₄ 3 )

Correct answer

A. ( n₁=n₄ )

Step-by-step solution

Given, ( 4 ) transparent media ( n₁, n₂, n₃ ) and ( n₄ ) are parallel to each other and a ray of light passes through it. Then by Snell's law for multiple media, we have [ n₁ ₁=n₄ ₄ ] But ( ₁= ₄ ) Therefore, ( n₁=n₄ )

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