Why is the density of the nucleus more than that of the atom ? Show that the density of nuclear matter is same for all nuclei.

Explanation

1. Volume of the atom is greater than that of nucleus and it consists of nucleons
2. Since density `prop (1)/("volume")`
`therefore` Density of the nucleus more than that of the atom.
3. Mass of the nucleus = no. of nucleons (A) `xx` mass of nucleon (m)
= Am
4. Volume of the nucleus `V=(4)/(3)pi R^(3)`
`=(4)/(3)pi(R_(0)A^(1//3))^(3)`
`= (4pi R_(0)^(3)A)/(3)=1.2xx10^(-45)m^(3).A.[because R_(0)=1.2xx10^(-15)m]`
i.e., the volume of the nucleus is proportional to the mass number A.
Density of the nucleus `(rho)=("Mass of the nucleus")/("Volume of the nucleus")`
`= (Am)/((4)/(3)pi R_(0)^(3)A)=(3m)/(4pi R_(0)^(3))`
6. The above equation represents it clear that the density of the nucleus is independent of the mass number A and is same for all the nuclei.