Physics-
General
Easy

Question

A cylindrical block of area of cross–section A and of material of density r is placed in a liquid of density one–third of density of block. The block compresses a spring and compression in the spring is one–third of the length of the block. If acceleration due to gravity is g, the spring constant of the spring is:

  1. rhoAg    
  2. 2rhoAg    
  3. 2rhoAg/3    
  4. rhoAg/3    

The correct answer is: 2rhoAg


    rho A L g equals fraction numerator rho over denominator 3 end fraction A L g plus left parenthesis K L divided by 3 right parenthesis
    K equals 2 rho A g

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