Properties Of Solids And Liquids Question 262

Question: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)[CPMT 2004]

Options:

A)80 Kg

B)50 Kg

C)60 Kg

D)30 Kg

Show Answer

Answer:

Correct Answer: A

Solution:

Volume of log of wood $ V=\frac{mass}{density}=\frac{120}{600} $ =0.2 m3

Let x weight that can be put on the log of wood. So weight of the body = $ (120+x)\times 10\ N $

Weight of displaced liquid= $ V\sigma g=0.2\times 10^{3}\times 10\ N $

The body will just sink in liquid if the weight of the body will be equal to the weight of displaced liquid.

$ (120+x)\times 10=0.2\times 10^{3}\times 10 $

$ \Rightarrow \ 120+x=200 $ \ x = 80 kg



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