Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# Water is Slowly Coming Out from a Vertical Pipe. as the Water Descends After Coming Out, Its Area of Cross Section Reduces. Explain this on the Basis of the Equation of Continuity. - Physics

Water is slowly coming out from a vertical pipe. As the water descends after coming out, its area of cross section reduces. Explain this on the basis of the equation of continuity.

#### Solution

Let a be the area of cross section and v be the velocity of water.
According to the equation of continuity,
av = Constant
or v  alpha 1/a
It means the larger the area of cross section, the smaller will be the velocity of liquid and vice versa.
Thus, as the water comes out of the vertical pipe, its velocity increases and area of cross section decreases.

Concept: Introduction to Fluid Machanics
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#### APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 13 Fluid Mechanics
Short Answers | Q 14 | Page 271