If the atom $\ _{100}Fm^{257}$ follows the Bohr model and the radius of $\ _{100}Fm^{257}$ is $n$ times the Bohr radius, then find $n$

Question

Dr. Abubacker · Accepted Answer

(d) $(rm) = \left( \frac{m^{2}}{Z} ight)(0.53\mathring{\mathrm{A}}) = (n 	imes 0.53\mathring{\mathrm{A}}) \Rightarrow \frac{m^{2}}{Z} = n$
$m = 5$ for $\ _{100}Fm^{257}$ [the outermost shell]
and $z = 100 \Rightarrow n = \frac{(5)^{2}}{100} = \frac{1}{4}$

Q. If the atom $\ _{100}Fm^{257}$ follows the Bohr model and the radius of $\ _{100}Fm^{257}$ is $n$ times the Bohr radius, then find $n$

Explanation

Reviewed by Dr. Abubacker

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