The radius of the oxygen nucleus 8^16O is 2.8 × 10-15 m. find the radius of lead nucleus 82^205Pb .

Q: The radius of the oxygen nucleus ₈O¹⁶ is 2.8 × 10^-15 m. find the radius of lead nucleus ₈₂Pb²⁰⁵.

Sol: $\large R_o \propto A^{1/3} $

$\large \frac{R_o}{R_{Pb}} = (\frac{A_o}{A_{Pb}} )^{1/3} $

$\large \frac{2.8 \times 10^{-15}}{R_{Pb}} = (\frac{16}{205} )^{1/3} $

R_pb = 6.55 × 10^-15 m