Question

Using the method of Dimension show that the CGS unit of Density is 1000 times the SI unit of Density

Answer 1

Explanation:

Density is the ration of mass and volume of an object.

The SI unit of Density is kg/m³

The CGS unit of Density is g/cm³

We need to find the relation between CGS unit and SI unit for Density:

We know that, 1 kg = 1000 g

1 m³ = 10⁶ cm³

$\frac{1 kg}{m^3} = \frac {1000 g}{10^6 cm^3} =10^{-3}\frac{g}{cm^3}\\ \Rightarrow \frac{g}{cm^3}=1000 \frac{kg}{m^3}$

Thus, CGS unit is 1000 times the SI unit of density.