MCQ

Water enters through end A with a speed v_{1} and leaves through end B with a speed v_{2} of a cylindrical tube AB. The tube is always completely filled with water. In case I the tube is horizontal, in case II it is vertical with the end A upward and in case III it is vertical with the end B upward. We have v_{1} = v_{2} for

#### Options

case I

case II

case III

each case

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#### Solution

each case

This happens in accordance with the equation of continuity.

As the area of the cross section of cylindrical tube AB is constant, the velocity of water will also be the same. The equation is derived from the principle of conservation of mass and it is true for every case, i.e., when the tube is either horizontal or vertical.

Concept: Introduction to Fluid Machanics

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