Size of the Nucleus

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

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

Calculate the radius of the earth if the density of the earth is equal to the density of the nucleus. [ mass of earth $5.97\times {10}^{24} kg].$

Show that the nuclear density is almost constant for nuclei $\mathrm{Z}\ge 10$

The nuclear radius of ${\mathrm{Pb}}^{208}$ is $8.874 \mathrm{fm}.$ What will be the nuclear radius of ${\mathrm{Ca}}^{44}?$

Calculate the density of hydrogen nucleus in $\mathrm{SI}$ units. Given $R_0=1.1 \mathrm{fm}$ and $m_p=1.007825 \mathrm{amu}$. Take, $1 \mathrm{amu} = 1.66054\times {10}^{-27} \mathrm{kg}$

A nucleus with $A=235$ splits into two nuclei whose mass numbers are in the ratio $2:1$. If $R_0=1.4 \mathrm{fm}$, find the radii of the new nuclei.

Calculate the nuclear radii of ${}_8{}^{140}\mathrm{Ba}$ and ${}_8{}^{17}\mathrm{O}$. Given $R_0=1.5 \mathrm{fm}.$

Radius of a nucleus of mass number $16$ is $3\times {10}^{15}\mathrm{m}.$ What is the radius of a nucleus of mass number $128$.

Two nuclei have their mass numbers in the ratio $1:3$. The ratio of their nuclear densities would be,

The stable nucleus that has a radius ${\frac{1}{3}}^{\mathrm{rd}}$ of that of ${\mathrm{Os}}_{76}^{189}$ is,

From the relation $R=R_0{A}^{1/3}$, where $R_{\mathit{0}}$ is a constant and $A$ is the mass number of a nucleus, show that the nuclear matter density is nearly constant (i.e. independent of $A$).

Obtain approximately the ratio of the nuclear radii of the gold isotope ${}_{79}{}^{197}\mathrm{A}\mathrm{u}$ and the silver isotope ${}_{47}{}^{107}\mathrm{A}\mathrm{g}$ .