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Question

The area of cross-section of a large tank is 0.5m2. It has an opening near the bottom having area of cross-section 1cm2. A load of 20kg is applied on the water at the top. Find the velocity of the water coming out of the opening at the time when the height of water level is 50cm above the bottom. Take g=10m/s2
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A
2.3m/s
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B
4.3m/s
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C
3.3m/s
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D
5.3m/s
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Solution

The correct option is C 3.3m/s
$\text { Applying Bernoullis therom between points just inside and outside hole

P0+20×100.5+1000×10×0.5=P0+12×1000×V2

[A1 V1=a1v1 from continuity equation ]

400+5000=500×V2

5400500=v2V2=10.8 m/s

V3.3 m/s

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