
Write the common unit of density.
Answer
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Hint: Density is described as the ratio of a substance's mass to its volume. It is the measurement of mass compactness in a material or an object. SI units are official units accepted internationally for basic physical quantities.
Complete solution:
Density is the ratio of an object's total mass to its total volume. Since it is a ratio of two physical quantities, its unit depends, therefore, on the units of both physical quantities. The density formula is \[D=\dfrac{M}{V}\], where d is density, M is mass, and volume is V. In units of grams per cubic centimeter, density is commonly expressed. The water density, for instance, is 1 gramme per cubic centimeter, and the density of the Earth is 5.51 grams per cubic centimeter.
1.The mass unit of the SI is kilogrammes. The symbol Kg is represented by it. $1 \mathrm{Kg}$ is defined as the weight of a specific mass. An international prototype made of platinum-iridium and maintained at the International Weights and Measures Bureau.
2.The volume unit Sl is a cubic metre of $\left(m^{-3}\right)$. Actually, the metre is a $S$ l unit of length. Because volume is measured using length, the volume unit is therefore derived from length.
So, we found that the SI density unit is kilogrammes per cubic metre. This is represented in the form of $\mathrm{Kg} m^{-3}$.
Note:
Density is an intensive property, that is, the amount of substance does not depend on it. Other common density units commonly used in calculations are $\mathrm{g} \mathrm{cm}^{-3}$. It is the density unit of the CGS.
Complete solution:
Density is the ratio of an object's total mass to its total volume. Since it is a ratio of two physical quantities, its unit depends, therefore, on the units of both physical quantities. The density formula is \[D=\dfrac{M}{V}\], where d is density, M is mass, and volume is V. In units of grams per cubic centimeter, density is commonly expressed. The water density, for instance, is 1 gramme per cubic centimeter, and the density of the Earth is 5.51 grams per cubic centimeter.
1.The mass unit of the SI is kilogrammes. The symbol Kg is represented by it. $1 \mathrm{Kg}$ is defined as the weight of a specific mass. An international prototype made of platinum-iridium and maintained at the International Weights and Measures Bureau.
2.The volume unit Sl is a cubic metre of $\left(m^{-3}\right)$. Actually, the metre is a $S$ l unit of length. Because volume is measured using length, the volume unit is therefore derived from length.
So, we found that the SI density unit is kilogrammes per cubic metre. This is represented in the form of $\mathrm{Kg} m^{-3}$.
Note:
Density is an intensive property, that is, the amount of substance does not depend on it. Other common density units commonly used in calculations are $\mathrm{g} \mathrm{cm}^{-3}$. It is the density unit of the CGS.
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