Physics
Fluid-Mechanics
Easy

Question

A cylindrical tank has a hole of 3 cm2 in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of 80 cm3/sec. Then the maximum height up to which water can rise in the tank is

  1. 1.1 cm
  2. 5 cm
  3. 10cm
  4. 0.25 cm

The correct answer is: 1.1 cm


    table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell therefore space of 1em A square root of 2 g h end root equals 80 not stretchy rightwards double arrow 3 cross times square root of 2 g h end root equals 80 end cell row cell not stretchy rightwards double arrow 3 cross times square root of 2 cross times 980 cross times h end root equals 80 end cell row cell h equals fraction numerator 6400 over denominator 1960 cross times 3 end fraction asymptotically equal to 1.1 cm end cell end table Volume of water flowing out per second  equals A v equals A square root of 2 g h end root

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