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  • The radius of a nucleous of mass number can be estimated by the formula 

The radius R of a nucleous of mass number A can be estimated by the formula R=(1.3\times 10^{-15})A^{\frac{1}{3}}m. It follows that the mass density of a nucleus is of the order of : (M_{prot.\; \cong }\; M_{neut.\; \simeq }\; \; 1.67\times 10^{-27}kg)
Option: 1 10^{3}\; kg\; m^{-3}  
Option: 2 10^{10}\; kg\; m^{-3}
Option: 3 10^{24}\; kg\; m^{-3}
Option: 4 10^{17}\; kg\; m^{-3}

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\rho_{\text {nucleus }}=\frac{\text { mass }}{\text { volume }}=\frac{\mathrm{A}}{(4 / 3) \pi \mathrm{r}_{0}^{3} \mathrm{~A}}=\frac{3}{4 \pi \mathrm{r}_{0}^{3}}=2.3 \times 10^{17} \mathrm{~kg} / \mathrm{m}^3\approx 10^{17} \mathrm{~kg} / \mathrm{m}^3

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