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Q.

Water is flowing at a constant rate through a horizontal pipe of variable cross-section as shown in figure. Then 

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a

Water flows from A to B with constant velocity.

b

Water flows from B to A with acceleration.

c

Water flows from A to B with acceleration.

d

Since the water is flowing at constant rate, pressure at section B = pressure at section A 

answer is B.

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Detailed Solution

From Bernoulli's equation,

pA+12ρvA2=pB+12ρvB2

Since area of flow at B is greater than area of flow at A, we can conclude vA>vB, i.e., water particles are accelerated while flowing from B to A.

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