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A piece of solid weight 120 g in air 80 g in water and 60g in liquid. The relative density at the solid and that at the liquid are respectively

a
2.2, 1.4
b
3, 1.5
c
1.1, 2.8
d
3.4, 1.8

detailed solution

Correct option is B

Given weight of solid in airwa=120 g Weight of solid in water ww=80 g Weight of solid in liquid wL=60 g The relative density of an object is equal to the ratio of its weight in air and the difference of its weight in air and its weight when the object is submerge in liquid For relative density of solid ρs=120 g120 g-80 g=12040=3 Hence relative density of solid ρs=3 How relative density of liquid can be calculated as the ratio of loss of weight of solid in liquid to the loss f weight in watere.g., relative density of liquid ρL=120−60120−80 ρL=6040=1.5

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