Physics-
General
Easy

Question

A cube of side 2 m is placed in front of a concave mirror focal length 1m with its face P at a distance of 3 m and face Q at a distance of 5 m from the mirror. The distance between the images of face P and Q and height of images of P and Q are

  1. 1 m, 0.5 m, 0.25 m    
  2. 0.5 m, 1 m, 0.25 m    
  3. 0.5 m, 0.25 m, 1m    
  4. 0.25 m, 1m, 0.5 m    

The correct answer is: 0.25 m, 1m, 0.5 m


    For surface P, fraction numerator 1 over denominator v subscript 1 end subscript end fraction equals fraction numerator 1 over denominator f end fraction minus fraction numerator 1 over denominator u end fraction equals 1 minus fraction numerator 1 over denominator 3 end fraction equals fraction numerator 2 over denominator 3 end fractionÞ v subscript 1 end subscript equals fraction numerator 3 over denominator 2 end fraction m
    For surface Q, fraction numerator 1 over denominator v subscript 2 end subscript end fraction equals fraction numerator 1 over denominator f end fraction minus fraction numerator 1 over denominator u end fraction equals 1 minus fraction numerator 1 over denominator 5 end fraction equals fraction numerator 4 over denominator 5 end fractionÞ v subscript 2 end subscript equals fraction numerator 5 over denominator 4 end fraction m
    \ v subscript 1 end subscript minus v subscript 2 end subscript equals 0.25 m
    Magnification of P equals fraction numerator v subscript 1 end subscript over denominator u end fraction equals fraction numerator 3 rightwards arrow over short leftwards arrow divided by rightwards arrow over short leftwards arrow 2 over denominator 3 end fraction equals fraction numerator 1 over denominator 2 end fraction
    \ Height of P equals fraction numerator 1 over denominator 2 end fraction cross times 2 equals 1 m
    Magnification of Q equals fraction numerator v subscript 2 end subscript over denominator u end fraction equals fraction numerator 5 rightwards arrow over short leftwards arrow divided by rightwards arrow over short leftwards arrow 4 over denominator 5 end fraction equals fraction numerator 1 over denominator 4 end fraction
    \ Height of Q equals fraction numerator 1 over denominator 4 end fraction cross times 2 equals 0.5 m

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