Density And Relative Density
Relative Density
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.
The relative density of silver is 10.8 If the density of water is 1000 kg/m3. Find the density of silver in SI units | |||
| 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 | |||
| Right Option : B | |||
| View Explanation | |||
An object of mass 50 g has a volume of 20 cm3. Calculate the density of the object. If the density of water be 1g/cm3, state whether the object will float or sink? | |||
| Right Option : B | |||
| View Explanation | |||
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