Q. A non viscous liquid is flowing through a frictionless duct, with cross-section varying as shown in figure.
image
Which of the following graph represents the variation of pressure along the axis of tube?

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Solution:

As we know according to equation of continuity, when cross-section of duct decreases, the velocity of flow of liquid increases and in accordance with Bernoulli's theorem, in a horizontal pipe, the place where speed of liquid is maximum, the value of pressure is minimum. Hence the graph correctly represents the variation of pressure.