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Q.

Water is drawn from a well in a 5 kg drum of capacity 55 L by two ropes connected to the top of the drum. The linear mass density of each rope is 0.5 kg m-1. The work done in lifting water to the ground from the surface of water in the well 20 m below is g=10 ms−2

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a

1.4×104 J

b

1.5×104 J

c

9.8×10×6 J

d

18 J

answer is A.

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Detailed Solution

Mass of water = 55×10-3×103=55 kg    1L=10-3 m3Work done in lifting water and drum is          60×10×20 J=12000 JTotal mass of ropes =40×0.5kg=20kgWork done in the case of ropes is          20×10×10=2000 JTotal work done = 14000 J
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