Physics-
General
Easy

Question

In the figure shown find the total magnification after two successive reflections first on M subscript 1 end subscript and then on M subscript 2 end subscript .

  1. + 1    
  2. – 2    
  3. + 2    
  4. – 1    

The correct answer is: + 2


    text For  end text M subscript 1 end subscript colon v subscript 1 end subscript equals fraction numerator u f over denominator u minus f end fraction equals fraction numerator open parentheses negative 30 close parentheses cross times open parentheses negative 20 close parentheses over denominator open parentheses negative 30 close parentheses minus open parentheses negative 20 close parentheses end fraction equals negative 60
    table row cell therefore M equals negative fraction numerator v subscript 1 end subscript over denominator u end fraction equals negative 2 end cell row cell text end text text F end text text o end text text r end text text end text M subscript 2 end subscript colon u equals plus 20. f equals 10 end cell row cell because fraction numerator 1 over denominator v end fraction plus fraction numerator 1 over denominator 20 end fraction equals fraction numerator 1 over denominator 10 end fraction rightwards double arrow v equals 20 end cell row cell therefore m subscript 2 end subscript equals negative fraction numerator 20 over denominator 20 end fraction equals negative 1 therefore m equals m subscript 1 end subscript cross times m subscript 2 end subscript equals plus 2 end cell end table

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