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Q.

A rectangular boat floating in water has length 4 m and breadth 1.5 m. A person gets into the boat as a result of which the boat sinks by 2 cm. Mass of the person is :

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a

80 kg

b

100 kg

c

120 kg

d

92 kg

answer is C.

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Detailed Solution

Weight of man =weight of additional displaced water                      =Vinρwg Mg=(4×1.5×2×10-2)×103×g ⇒M = 120 kg
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