Physics-
General
Easy

Question

A glass rod has ends as shown in figure. The refractive index of glass is mu. The object ' O^' is at a distance 2R from the surface of larger radius of curvature. The distance between apexes of ends is 3R. Find the distance of image formed of the point object from right hand vertex. What is the condition to be satisfied if the image is to be real ?

  1. fraction numerator left parenthesis 10 mu minus 9 right parenthesis left parenthesis mu minus 2 right parenthesis over denominator left parenthesis 9 minus 4 mu right parenthesis R end fraction semicolon mu greater than 2    
  2. fraction numerator left parenthesis 5 mu minus 4 right parenthesis left parenthesis mu minus 2 right parenthesis over denominator left parenthesis 9 minus 4 mu right parenthesis R end fraction semicolon mu greater than 2    
  3. fraction numerator left parenthesis 9 minus 4 mu right parenthesis R over denominator left parenthesis 10 mu minus 9 right parenthesis left parenthesis mu minus 2 right parenthesis end fraction semicolon mu greater than fraction numerator 9 over denominator 4 end fraction    
  4. fraction numerator left parenthesis 9 minus 4 mu right parenthesis R over denominator left parenthesis 10 mu minus 9 right parenthesis left parenthesis mu minus 2 right parenthesis end fraction semicolon 2 less than mu less than fraction numerator 9 over denominator 4 end fraction    

The correct answer is: fraction numerator left parenthesis 9 minus 4 mu right parenthesis R over denominator left parenthesis 10 mu minus 9 right parenthesis left parenthesis mu minus 2 right parenthesis end fraction semicolon 2 less than mu less than fraction numerator 9 over denominator 4 end fraction

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