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A solid sphere of density h (> 1) times lighter than water is suspended in a water tank by a string tied to its base as shown in fig. If the mass of the sphere is m then the tension in the string is given by

  1. open parentheses fraction numerator eta minus 1 over denominator eta end fraction close parentheses m g    
  2. eta m g    
  3. fraction numerator m g over denominator eta minus 1 end fraction    
  4. left parenthesis eta minus 1 right parenthesis m g    

The correct answer is: left parenthesis eta minus 1 right parenthesis m g


    Tension in spring T = upthrust – weight of sphere
    equals V sigma g minus V rho g equals V eta rho g minus V rho g left parenthesis text As  end text sigma equals eta rho right parenthesis
    equals left parenthesis eta minus 1 right parenthesis V rho g = left parenthesis eta minus 1 right parenthesis m g.

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