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Q.

The radius of a well is 7m. Water in it is at a depth of 20m and depth of water column is 10m. Work done in pumping out water completely from the well is, (g = 10ms–2)

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a

38.5 MJ

b

38.5 KJ

c

46.2 MJ 
 

d

385 MJ 
 

answer is D.

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Detailed Solution

Let total mass of water be m,

mass=density×volume

m=1000×πR2h

m=1000×227×72×10=1540000kg

The centre of mass of the water, according to the centre of mass idea, is located (20 + 5) h from the top.
Work done = mg(20+5)

work done=150000×10×25=385MJ

Hence the correct answer is 385MJ.

 

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The radius of a well is 7m. Water in it is at a depth of 20m and depth of water column is 10m. Work done in pumping out water completely from the well is, (g = 10ms–2)