Physics-
General
Easy

Question

A point object is placed at a distance of 20 cm from a thin plano-convex lens of focal length 15 cm. The plane surface of the lens is now silvered. The image created by the system is at :

  1. 60 cm to the left of the system.    
  2. 60 cm to the right of the system.    
  3. 12 cm to the left of the system.    
  4. 12 cm to the right of the system    

The correct answer is: 12 cm to the left of the system.


    By mirror - lens combination formula
    fraction numerator 1 over denominator F end fraction equals fraction numerator 1 over denominator f subscript m end subscript end fraction minus fraction numerator 2 over denominator f subscript L end subscript end fraction rightwards double arrow fraction numerator 1 over denominator F end fraction equals fraction numerator 1 over denominator infinity end fraction minus fraction numerator 2 over denominator 15 end fraction
    By mirror formula
    table row cell fraction numerator 1 over denominator F end fraction equals fraction numerator 1 over denominator u end fraction plus fraction numerator 1 over denominator v end fraction rightwards double arrow negative fraction numerator 2 over denominator 15 end fraction equals fraction numerator 1 over denominator negative 20 end fraction plus fraction numerator 1 over denominator v end fraction end cell row cell rightwards double arrow fraction numerator 1 over denominator v end fraction equals fraction numerator 1 over denominator 20 end fraction minus fraction numerator 2 over denominator 15 end fraction equals fraction numerator 3 minus 8 over denominator 60 end fraction end cell end table
    v = –12 cm negative means towards left

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