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Question
Figure shows the same block of wood floating in three different liquids A, B and C of densities ρ1, ρ2 and ρ3 respectively. Which of the liquid has the highest density? Give a reason for your answer.

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Solution
The upthrust on the body by each liquid is the same and equal to the weight of the body.
However, upthrust = Volume submerged × ρL × g,
For the liquid C, since the volume submerged is least so the density ρ3 must be maximum.
RELATED QUESTIONS
State whether the following statement is true or false :
The buoyant force depends on the nature of object immersed in the liquid
A body experiences the same buoyant force while floating in water or alcohol.
How does the density of a body and that of a liquid determine whether the body will float or sink into that liquid?
Describe a simple experiment to demonstrate that a liquid enclosed in a vessel exerts pressure in all directions.
State three factors on which the pressure at a point in a liquid depends.
The diagram below in Fig. 4.12 shows a device which makes the use of the principle of transmission of pressure.

- Name the parts labelled by the letters X and Y.
- Describe what happens to valves A and B and to the quantity of water in the two cylinders when the lever arm is moved down.
- Give reasons for what happens to valves A and B in part (ii).
- What happens when the release valve is opened?
- What happens to valve B in cylinder P when the lever arm is moved up?
- Give a reason for your answer in part (v).
- State one use of the above device.
The S.I. unit of pressure is :
A block of iron of mass 7.5 kg and of dimensions 12 cm × 8 cm × 10 cm is kept on a table top on its base of side 12 cm × 8 cm.
Calculate:
- Thrust and
- Pressure exerted on the table top
Take 1 kgf = 10 N.
In what direction and at what point does the buoyant force on a body due to a liquid act?
What do you mean by buoyancy?
