Show that the density of a nucleus does not depend upon its mass number (density is independent of mass)

Explanation

Density of nucleus matter `= ("mass of nucleus")/("volume of nucleus")`
But mass of nucleus =
No. of nucleons (A) `xx` mass of nucleons (m)
Volume of nucleus `V=(4)/(3)pi R^(3)`
But `R=R_(0)A^(1//3)`
`therefore V=(4)/(3)pi R_(0)^(3)A`
`therefore` Density of nuclear matter =
`(Am)/((4)/(3)pi R_(0)^(3)A=(3m)/(4pi R_(0)^(3))`
`therefore` Density of nucleus is independent of mass.