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Question

The cross-sectional area of a large tank is 0.5m2. It has an opening near the bottom having cross-sectional area 1cm2. A load of 20kg is applied on the water at the top. The velocity of water coming out of the opening, at the time when the height of water level is 50cm above the bottom is nearly:(Take g=10ms2)

A
1.15
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B
3.15
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C
5.15
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D
715
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Solution

The correct option is A 3.15
Applying Bernoullis theorem across the two points.
20000.5+1000×10×50100=12×1000×v2

400+5000=500v2

545=v2v=3.286m/s

v3.3m/s .....[ Neglecting the velocity of water at the top of beaker ]

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