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Q.

A raft of mass M = 600 kg floats in calm water with 7 cm submerged. When a man stands on the raft, it is 1.4 cm more submerged, then the man's mass is

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a

120 kg

b

90 kg

c

30 kg

d

60 kg

answer is D.

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Detailed Solution

Upthrust on 7 cm = 600 kg 

∴    Upthrust on further 1.4 cm =6007×1.4=120kg

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A raft of mass M = 600 kg floats in calm water with 7 cm submerged. When a man stands on the raft, it is 1.4 cm more submerged, then the man's mass is