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Q.

A boat having a length of 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is (density of water = 1000 kg/m3)

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a

60 kg

b

62 kg

c

12 kg

d

128 kg

answer is A.

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Detailed Solution

Weight of the man should be equal to extra buoyancy force created.mg = Vρg⇒mg = (2×3×1100)1000g⇒  m = 60 kg
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