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Q.

A log of wood of mass 120 Kg floats in water. The weight that can be put on the raft to make it just sink, should be (density of wood = 600 Kg/m3)

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a

50 Kg

b

60 Kg

c

30 Kg

d

80 Kg

answer is A.

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Detailed Solution

Volume of log of wood  V=massdensity=120600=0.2 m3
Let x weight that can be put on the log of wood. 
So weight of the body =  (120+x)×10N
Weight of displaced liquid  =   Vσg=0.2×103×10N
The body will just sink in liquid if the weight of the body will be equal to the weight of displaced liquid.

 (120+x)×10=0.2×103×10120+x=200 x=80kg

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