Physics-
General
Easy

Question

The springs shown are identical. When A equals 4 k g, the elongation of spring is 1 cm. If B equals 6 k g, the elongation produced by it is

  1. 4 cm    
  2. 3 cm    
  3. 2 cm    
  4. 1 cm    

The correct answer is: 3 cm


    F equals k x Þ m g equals k x Þ m proportional to k x
    Hence fraction numerator m subscript 1 end subscript over denominator m subscript 2 end subscript end fraction equals fraction numerator k subscript 1 end subscript over denominator k subscript 2 end subscript end fraction cross times fraction numerator x subscript 1 end subscript over denominator x subscript 2 end subscript end fraction Þ fraction numerator 4 over denominator 6 end fraction equals fraction numerator k over denominator k divided by 2 end fraction cross times fraction numerator 1 over denominator x subscript 2 end subscript end fraction
    x subscript 2 end subscript equals 3 c m.

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