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

Density of nuclear matter `("mass of nucleus")/("volume of nucleus")`
`rho = (mA)/((4)/(3)pi R^(3))`, where m is average mass of a nucleon
Using `R = R_(0)A^(1//3)` we get
`rho=(3mA)/(4pi(R_(0)A^(1//3))^())=(3m)/(4pi R_(0)^(3))`
As `R_(0)` is constant, therefore `rho` is constant.