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Question

A cubical block is floating in a liquid with half of its volume immersed in the liquid. When the whole system accelerates upwards with acceleration of g/3, the fraction of volume immersed in the liquid will be

  1. fraction numerator 1 over denominator 2 end fraction    
  2. fraction numerator 3 over denominator 8 end fraction    
  3. fraction numerator 2 over denominator 3 end fraction    
  4. fraction numerator 3 over denominator 4 end fraction    

The correct answer is: fraction numerator 1 over denominator 2 end fraction


    Fraction of volume immersed in the liquid V subscript i n end subscript equals open parentheses fraction numerator rho over denominator sigma end fraction close parentheses V i.e. it depends upon the densities of the block and liquid.
    So there will be no change in it if system moves upward or downward with constant velocity or some acceleration.

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