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Q.

A 30 m deep well is having water upto 15 m. An engine evacuates it in one hour. The power of the engine, if the diameter of the well is 4 m is 

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a

11.55 kW

b

1155 kW

c

23.10 kW

d

2310 kW

answer is A.

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Detailed Solution

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Mass of water, m = volume × density = πr2l×ρ

π(2)2×15×1000 kg

height that the water is lifted is h = 30+152 = 22.5 m

P = Wt = mght = π(2)2×15×1000×9.8×22.53600

= 11.55 kW

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