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The cross-section of the water stream from a tap decreases as it goes in accordance with the equation of continuity.

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Q1
Figure shows a stream of water emerging from the opening of a tap. As the water falls through a height h=PQ, the cross-sectional area of the stream decreases from A to a. Obtain the expression for the rate of flow of water through the opening of the tap.


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Q2
Water from a tap emerges vertically downwards with an initial velocity V0.assuming pressure is constant throughout the stream of water and the flow is steady, find the distance from the tap at which cross-sectional area of stream is half of the cross-sectional area of stream at the tap:
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