Size of the Nucleus

The radius of oxygen nucleus ${}_8{}^{16}\mathrm{O}=2.8\times {10}^{-12 }\mathrm{m}$. Find the radius of lead nucleus ${}_{82}{}^{205}\mathrm{Pb}$.

Compare the radii of the nuclei of masses numbers $27 \mathrm{and} 64$

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

What are properties of a neutron?

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

What are units and dimensions of disintegration constant?

What will be the ratio of the sizes of  nuclei of mass numbers ${\mathrm{A}}_{1 }\mathrm{and} {\mathrm{A}}_2$?

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 $A$).

Calculate the height of the potential barrier for a head-on collision of two deuterons. (Hint: The height of the potential barrier is given by the Coulomb repulsion between the two deuterons when they just touch each other. Assume that they can be taken as hard spheres of radius $2.0 \mathrm{fm}$.)

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