Question

Given, \[\rho =2g/c{{m}^{3}}\]. Represent it in MKS system

Answer 1

Hint: The MKS system of units uses metre, kilogram and seconds as base units. The SI unit is considered to be built upon the MKS system. Hence, we can say that the MKS unit is used to fundamentally represent all sorts of physical quantities around us, say length, mass and time as metre, kilogram and second .This system is internationally accepted.

Complete step by step answer:
The density of any substance is defined as the mass per unit volume. It is a unique physical property possessed by every object and it shows the denseness of the body in a specifically given area. In qualitative terms, we can also say that density shows the heaviness of an object in a given volume.

Density is a factor that determines floatation. When we consider water as a medium, the objects that are denser than water will sink in it, and the objects that are less dense than water will float in it. Generally, the density of water is taken as a standard value to calculate the density of substances. The density of substance with respect to that of water is termed as its relative density.

The unit of density in the MKS system is \[kg/{{m}^{3}}\]

We are given that \[\rho =2g/c{{m}^{3}}\]

Hence, density in MKS system can be represented as
\[\rho =2\dfrac{{{10}^{-3}}kg}{{{({{10}^{-2}}m)}^{2}}}=2\times {{10}^{3}}kg/{{m}^{3}}\]

Note:Here, while changing the unit system we should not take care of the value. Only the units have to be changed according to their change.
While taking the example here we didn’t touch the value of 2, as we only changed the values of their units according to it.