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A 30m deep well is having water up to 15...

A `30m` deep well is having water up to `15 m`. An engine evacuates it in one hour . The power of the engine. If the diameter of the well is `4m` is

A

11.55 kW

B

1155 kW

C

23.10 kW

D

2310 kW

Text Solution

Verified by Experts

The correct Answer is:
A
Mass of water, m = volume x density =`pir^2lxxrho`
`= pi(2)^2 xx 15 xx 1000 kg`
`h=(30+15)/2= 22.5 m`
`P=W/t=(mgh)/t =(pi(2)^2 xx 15 xx 1000 xx 9.8 xx 22.5)/3600`
=11.55 kW
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