Physics
Fluid-Mechanics
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Question

In figure, block A hangs by a cord from spring balance D and it submerged in a liquid C contained in a beaker B. The mass of the beaker is 1 kg. The mass of the liquid is 1.5 kq. Balance D reads 7.5 kg. The volume of block A is 0.003 m3. The mass per unit volume of the liquid is

  1. 2500 kgm to the power of negative 3 end exponent
  2. 5000 kgm to the power of negative 3 end exponent
  3. 1 kgm to the power of negative 3 end exponent
  4. 5000 over 3 kgm to the power of negative 3 end exponent

The correct answer is: 5000 over 3 kgm to the power of negative 3 end exponent


    7.5 g = 1 g+1.5 g + Downward reaction force of block
    or 5g =|Downward reaction force|
    table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell =∣ U text  pthrust  end text ∣= 0.003 rho subscript 1 g end cell row cell therefore space of 1em rho subscript 1 equals fraction numerator 5 over denominator 0.003 end fraction kgm to the power of negative 3 end exponent equals 5000 over 3 kgm to the power of negative 3 end exponent end cell end table

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