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Q.

A man of mass 60kg lifts a 15kg mass to the top of a building of height 10m in 5minutes. His efficiency is

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a

10%

b

20%

c

30%

d

40%

answer is B.

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Detailed Solution

A man who weighs 60 kg can pull a body that weighs 15 kg to the top of a structure that is 10 metres tall in 5 minutes. initially, the power is used to lift the body (performing work)

Pi=mght Pi=(60+15)×10×105×60=7500300

When  reaching the top, the power is

Pf=mght Pf=15×10×105×60=1500300

The ratio of final power to initial power represents a person's efficiency.

η=PfPi η=15003007500300×100 η=15×100 η=20%

Hence the correct answer is 20%.

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