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Scalar Quanities

Water is flow...

Question

Water is flowing steadily out through the end of a vertical pipe with a velocity of 4 ms^-1. What will be the velocity of water at a distance from the end of the pipe where the area of cross section of the stream of water is (2/3)A? (Here A is the area of cross-section of the pipe)

8 ms^-1

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1 ms^-1

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0.4 ms^-1

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6 ms^-1

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Solution

The correct option is D
6 ms^-1

From the equation of continuity, we have

A₁V₁ = A₂V₂

Here, A₁ = A and A₂= 2A/3

V₁= 4 ms^-1

Hence,

A × 4 = (2A/3) × V₂

V₂ = 6 ms^-1

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