Physics-
General
Easy

Question

In the figure three identical springs are shown. From spring A, a mass of 4 kg is hung and spring shows elongation of 1 cm. But when a weight of 6 kg is hung on B, the Hook descends

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

The correct answer is: 3 cm


    x equals fraction numerator F over denominator k end fraction
    If spring constant is k for the first case, it is fraction numerator k over denominator 2 end fraction for second case.
    For first case, 1 equals fraction numerator 4 over denominator k end fraction (i)
    For second case, x to the power of ´ end exponent equals blank fraction numerator 6 over denominator k divided by 2 end fraction equals fraction numerator 12 over denominator k end fraction (ii)
    Dividing Eq. (ii) by Eq. (i), we get
    x to the power of ´ end exponent equals blank fraction numerator fraction numerator 12 over denominator k end fraction over denominator fraction numerator 4 over denominator k end fraction end fraction equals 3 blank c m

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