Question

Two nuclei have mass numbers in the ratio 1:2. What is the ratio of their nuclei densities?​

Answer 1

Explanation:

Mass of first nuclei = m

Mass of second nuclei = 2 m

Let us consider the volume is constant.

We know that,

Density = mass/volume

Now, Density of first nuclei is

\rho_{1} = \dfrac{m}{V}ρ1=Vm ....(I)

Density of second nuclei is

\rho_{2} = \dfrac{2m}{V}ρ2=V2m ....(II)

The ratio of their nuclear density

\dfrac{\rho_{1}}{\rho_{2}} = \dfrac{m\times V}{2m\times V}ρ2ρ1=2m×Vm×V

\dfrac{\rho_{1}}{\rho_{2}} = \dfrac{1}{2}ρ2ρ1=21

Hence, the ratio of their nuclear density is 1:2.