The radius $\mathrm{R}$ of a nucleus of mass number $\mathrm{A}$ can be estimated by the formula $\mathrm{R}=\left(1.3\times {10}^{-15}\right){\mathrm{A}}^{1/3}\mathrm{m}$. It follows that the mass density of n nucleus is of the order of: $\left(M_{prot}\cong M_{\text{neut }}\simeq 1.67\times {10}^{-27} \mathrm{kg}\right)$

• A

  ${10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$
• B

  ${10}^{10 }\mathrm{kg} {\mathrm{m}}^{-3}$
• C

  ${10}^{24} \mathrm{kg} {\mathrm{m}}^{-3}$
• Correct answer
  D

  ${10}^{17} \mathrm{kg} {\mathrm{m}}^{-3}$

Hence, the correct answer is option: 'D'.