Consider a ${?}_{17}^{35}Cl$ nucleus to be a sphere with the seventeen protons uniformly distributed throughout.

$($a$)$ Determine the radius of this sphere $($in m $).$

$$ m

$($b$)$ If the energy needed to assemble a uniformly charged sphere of charge $Q$ and radius $R$ from separate charges is $U=\frac{3k_e{Q}^2}{5R},$ determine the energy $($in MeV$)$ needed to assemble a uniformly charged sphere consisting of seventeen protons and with the radius determined in part $($a$).$

$6\mathrm{.}31$

Che

Check values and your calculation. MeV

$($c$)$ Determine the binding energy $($in MeV $)$ for the nucleus ${?}_{17}^{35}Cl.($Let the mass of a proton be $1\mathrm{.}0078$ u $,$ the mass of a neutron be $1\mathrm{.}0087$ u $,$ and the mass of ${?}_{17}^{35}Cl$ be $34\mathrm{.}9689$ u $.)$

$$ MeV

$($d$)$ Comparing your answers to parts $($b$)$ and $($c$),$ which of the following is the correct conclusion?

Nuclear forces are about the same as Coulomb forces.

Nuclear forces are much larger than Coulomb forces.

Nuclear forces are much weaker than Coulomb forces.