According to Archimedes law of boyanci, if any object completely or partially submerged in a fluid at rest feels an upward, or buoyant force, which magnitude is equal to the weight of the fluid displaced by the object.
Buoyancy is the tendency to rise or float of an object in a fluid. The upward force acted on the object submerged in fluids is called the buoyant force.
Buoyant force is directly proportional to the density of the fluid in which an object is immersed. Now if the density of the object is higher than the fluid, the oject will merge into the fluid completely. Whereas if the density of the object is lower than the fluid, the object will float on the liquid. Now in the given problem, we have three fluids where ether (density = 0.714 g/mL) floats over water (density = 1.00 g/mL), and water floats over mercury (density = 13.6 g/mL) as shown in the diagram.
Among the avialable objects, the glass marbel (density 2.95 g/cm3) has higher density than water but lower density than mercury. Therefore it will merge into water and rest above the mercury layer as shown in the attached diagram. Similarly the platimum ring (density 21.45 g/cm3) has higher density than mercury so it will merge into mercury completely and rest at the bottom of the graduated cylinder (see attached diagram). Again lump of coal (density 0.83 g/cm3) has higher density than ether but lower density than water. Therefore it will merge into ether and rest above the upper layer of water as shown in the attached diagram. Finally the champagne cork (density 0.19 g/cm3) which has density lower than ether will float on the top of the ether layer as shown in the diagram.
1. Ether floats on water and water floats on mercury, as shown in the following diagram....
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