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  4. The radius of a nucleus with atomic mass number 7 is 2 Fermi. Find the radius of nucleus with atomic number 189.

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Q. The radius of a nucleus with atomic mass number $7$ is $2$ Fermi. Find the radius of nucleus with atomic number $189$.

J & K CETJ & K CET 2007Atoms

Solution:

$R=R_{0} A^{1 / 3}$
$\therefore \frac{R_{1}}{R_{2}}=\left(\frac{A_{1}}{A_{2}}\right)^{1 / 3}$
$\frac{2}{R_{2}}=\left(\frac{7}{189}\right)^{1 / 3}$
$\Rightarrow R_{2}=6$ Fermi