SATHEE: Properties Of Solids And Liquids Question 262

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 $V = \frac{m a s s}{d e n s i t y} = \frac{120}{600}$ =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= $V σ g = 0.2 \times 10^{3} \times 10 N$

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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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:

Answer:

Solution:

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