Question

Describe an experiment to verify Archimedes' principle.

Answer 1

Experiment to verify Archimedes' principle:
$$\bullet$$ Suspends a solid by a thin thread from the hook of a balance. Make note of its weight.
$$\bullet$$
Fill a eureka can with water up till its spout. St up a cylinder below the spout of the eureka as observed in the diagram. Gently, submerged the solid in water and collect the displaced water in the measuring cylinder.
$$\bullet$$ Make note of the weight of the liquid and the volume of the water is assemble in the measuring cylinder once the water dripping through the spout.
$$\bullet$$ It is clear from the diagram that the volume of the water displaced is equivalent to the difference of weight in air to the weight in water i.e.,
Weight in air-weight in water - volume of water
$$\Rightarrow \ 300gf -200gf=100gf$$
$$\Rightarrow \ $$ Volume of water displaced is equal to the volume of solid which is equivalent to $$100 cm^3$$
$$\Rightarrow \ $$ As we known that the density of water is $$1\ gcm^{-3}$$
$$\Rightarrow \ $$ Hence the weight of the water displaced is equivalent to the loss in weight or the upthrust $$=100 gf$$
$$\Rightarrow \ $$ Hence the Archimedes' principle is verified.