Physics-
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Question

A transparent thin film of uniform thickness and refractive index n subscript 1 end subscript = 1.4 is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index n subscript 2 end subscript = 1.5, as shown in the figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f subscript 1 end subscriptfrom the film, while rays of light traversing from glass to air get focused at distance f subscript 2 end subscript from the film. Then

  1. open vertical bar f subscript 1 end subscript close vertical bar equals 3 R    
  2. open vertical bar f subscript 1 end subscript close vertical bar equals 2.8 R    
  3. open vertical bar f subscript 2 end subscript close vertical bar equals 2 R    
  4. open vertical bar f subscript 2 end subscript close vertical bar equals 1.4 R    

The correct answer is: open vertical bar f subscript 1 end subscript close vertical bar equals 3 R

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