Physics
Fluid-Mechanics
Easy

Question

Two solids A and B float in water. It is observed that A floats with half of its volume immersed and B floats with 2/3 of its volume immersed.  The ratio of densities of A and B is

  1. 4: 3
  2. 2: 3
  3. 3: 4
  4. 1: 3

The correct answer is: 3: 4


    table attributes columnalign left end attributes row cell V subscript A rho subscript A equals 1 half V subscript A cross times 1 text  or  end text rho subscript A equals 1 half ∣ end cell row cell text  Again,  end text V subscript B rho subscript B equals 2 over 3 V subscript B cross times 1 text  or  end text rho subscript B equals 2 over 3 end cell row cell rho subscript A over rho subscript B equals 1 half cross times 3 over 2 equals 3 over 4 end cell end table

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