Physics-
General
Easy

Question

A transparent thin film of uniform thickness and refractive index n subscript 1 end subscript equals 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 equals 1.5, as shown in figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f1 from the film, while rays of light traversing from glass to air get focused at distacnce f2 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 2 end subscript close vertical bar equals 2 R

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