Physics-
General
Easy

Question

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

  1. 4 blank c m    
  2. 3 blank c m    
  3. 2 blank c m    
  4. 1 blank c m    

The correct answer is: 3 blank c m


    F equals k x rightwards double arrow m g equals k x rightwards double arrow m proportional to k x
    H e n c e 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 rightwards double arrow 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
    rightwards double arrow x subscript 2 end subscript equals 3 blank c m

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