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13.Nuclei
medium
The radius of $R$ of a nucleus of mass number $A$ can be estimated by the formula $R =\left(1.3 \times 10^{-15}\right) A ^{1 / 3}\, m .$ It follows that the mass density of a nucleus is of the order of
$\left( M _{\text {prot. }} \cong M _{\text {neut. }}=1.67 \times 10^{-27} kg \right)$
A
$10^{24} \;kg m ^{-3}$
B
$10^{3} \;kg m ^{-3}$
C
$10^{17} \;kg m ^{-3}$
D
$10^{10} \;kg m ^{-3}$
(JEE MAIN-2020)
Solution
$\rho_{\text {nucleus }}=\frac{\text { mass }}{\text { volume }}=\frac{A}{(4 / 3) \pi r_{0}^{3} A}=\frac{3}{4 \pi r_{0}^{3}}=2.3 \times 10^{17} kg / m^{3}$
Standard 12
Physics
