In an experiment to determine the densities- four solids A- B- C and D are immersed in a liquid contained in a measuring cylinder- one by one- The volumes of water displaced by the solids A- B- C and D are 100 cm 3- 100 cm 3- 80 cm 3 and 80 cm 3- respectively- When weighed in air- the masses of solidsA- B- C- and D were found to be 80 g - 100 g - 100 g and 80 g- respectively- The two solids having identical densities are-1 A and C2 B and D3 C and D4 A and D

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Byju's Answer

Standard IX

Physics

Relative Density

In an experim...

Question

In an experiment to determine the densities, four solids A, B, C and D are immersed in a liquid contained in a measuring cylinder, one by one. The volumes of water displaced by the solids A, B, C and D are 100 cm³, 100 cm³, 80 cm³and 80 cm³, respectively. When weighed in air, the masses of solids A, B, C, and D were found to be 80g, 100g, 100g and 80g, respectively. The two solids having identical densities are :
(1) A and C
(2) B and D
(3) C and D
(4) A and D

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Solution

Weights of the liquid displaced by A, B, C, and D are 100 g, 100 g, 80 g, and 80 g respectively, as the density of the water is 1 g/cm³. Now we can see the solid B and D displaces the liquid equal to their own weights, that means buoyant force is equal to the weight of the body in case of solids b and D. By this we can conclude that the density of both B and D is equal to the density of water, which makes their density identical, that's why they are experiencing the same buoyant force equal to their own weight.

Hence, the correct answer is option 2.

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