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Q.

Water falling vertically from the mouth of a tap in streamline flow forms a tapering column as shown in the Fig. 12.69. Which of the following is the most correct explanation for this?

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a

As the water falls down, its velocity increases resulting in decrease in pressure. So, it is then compressed by the surrounding air.

b

The mass of water passing through any cross-section must remain constant. So in accordance with Av = constant (as liquid is incompressible), the area of cross-section decreases with increase in velocity.

c

Due to surface tension effect, exposed surface area of liquid decreases.

d

To attain terminal velocity, area of cross-section decreases.

answer is B.

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Detailed Solution

As per the equation of continuity with the increase in velocity area of crossection will be decreased.
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