Physics
Fluid-Mechanics
Easy

Question

A long cylindrical tank of radius 1 m is being filled by a pipe of radius 2 cm. The incoming water has a velocity of 1 m/s. The tank has a hole of radius 1 cm at the bottom. What is the height of water in the tank in steady state?

  1.  0.4 m
  2. 0.6 m
  3. 0.8 m
  4. the level will continue to increase

The correct answer is: 0.8 m


    In steady state,
    table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell A subscript 1 v subscript 1 equals A subscript 2 v subscript 2 end cell row cell pi cross times 2 squared cross times 1 equals pi cross times 1 squared cross times square root of 2 g h end root end cell row cell not stretchy rightwards double arrow space of 1em h equals 16 over 20 equals 0.8 m end cell end table

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