(a) The energy of hydrogen atom in an orbit is $-1.51\mathrm{eV}$. What are kinetic and potential energies of the electron in this orbit?
(b) The electron in a hydrogen atom is typically found at a distance of about $5.3\times {10}^{-11}\mathrm{m}$ from the nucleus which has a diameter of about $1.0\times {10}^{-15}\mathrm{m}$. Assuming the hydrogen atom to be a sphere of radius $5.3\times {10}^{-11}\mathrm{m}$, what fraction of its volume is occupied by the nucleus?