Physics
Fluid-Mechanics
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Question

Water flows through a pipe as shown in the figure. The areas of cross-section of sections A and B respectively are 4 cm2 and 1 cm2. The gauge pressure in the pipe at the centre of section A is  and the flow rate is 1.25 cross times 10 to the power of 5 space p a and the flow rate is 800 cm3 s-1 . The difference in heights of the water levels in the vertical pipes is m. (Acceleration due to gravity =10 ms-2)

  1. 6
  2. 9
  3. 3
  4. 12

The correct answer is: 3


    table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell A subscript 1 equals 4 c m squared comma A subscript 2 equals 1 c m squared end cell row cell P subscript A minus P subscript g equals 1 times 25 cross times 10 to the power of 5 p a end cell row cell v over t equals 800 c m cubed divided by sec end cell row cell h subscript A minus h subscript B equals h equals ? end cell row cell 800 cross times 10 to the power of negative 6 end exponent equals 4 cross times 10 to the power of negative 4 end exponent v end cell row cell 10 to the power of 4 left parenthesis h subscript A minus h subscript B right parenthesis equals 1 times 25 cross times 10 to the power of 5 plus 1 half cross times 10 cubed cross times 4 left parenthesis 16 minus 1 right parenthesis end cell end table

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