Relative Density: The relative density of a substance is the ratio of its density to that of water.
Relative density of a substance =
In other words, we can say that,
Relative density of a substace
Since, the relative density is a ratio of similar quantities, so it has no unit.
The relative density of a substance expresses the heaviness (or density) of the substance in comparison to water. By saying that relative density of iron is 8.7, we mean that iron is 8.7 times heavy as an equal volume of water.
Note Density of water is
The relative density of a substance is found accurately by using Archimedes principle.
Example: A solid of mass 600 g has volume . Then,
Solution: Given, mass of solid, m = 600 g
Volume of solid,
(i) Density of solid
Therefore, density of solid =
(ii) The solid will displace water equal to its own volume, which is . So, it will displace of water.
Density of water is . Hence, from the formula,
i.e.
= 450 g
Therefore, the mass of water displaced is 450 g.
(iii)
Therefore, the relative density of solid is 1.33.
(iV) Since, the relative density of this solid (1.33) is greater than that of water (1), therefore this solid is heavier than water and hence it will sink in water.
If a sample of metal weight 210 g in air, 180 g in water, 120 g in a liquid: | |||
Right Option : A | |||
View Explanation |
The density of a body is 800 kg/m3. Will it sink or float when dipped in a bucket of water? | |||
Right Option : A | |||
View Explanation |
When an object of weight W is immersed in a liquid, its weight in the liquid is found to be . When it is immersed in water, the weight of the water displaced is found to be . The relative density of the liquid is _________________ | |||
Right Option : B | |||
View Explanation |
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