Question

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

Answer 1

Answer: The ratio of their nuclear density is 1:2.

Explanation:

Given that,

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

$\rho_{1} = \dfrac{m}{V}$....(I)

Density of second nuclei is

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

The ratio of their nuclear density

$\dfrac{\rho_{1}}{\rho_{2}} = \dfrac{m\times V}{2m\times V}$

$\dfrac{\rho_{1}}{\rho_{2}} = \dfrac{1}{2}$

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

Answer 2

The ratio of their nuclear density will be 1 : 1

Explanation :

Since the nuclear densities are independent of mass number of nuclei hence, the ration of nuclear densities of nuclei is 1:1

This means that the nucleus of Hydrogen and nucleus of aluminium will have the same density irrespective of their mass number.

I hope this answers your question, please feel free to ask any doubts regarding this in the comment section.