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) $(r_{m})\  = \ \left( \frac{m^{2}}{z} ight)(0.53\mathring{\mathrm{A}}) = (n 	imes \ 0.3)\mathring{\mathrm{A}}$
$	herefore\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{m^{2}}{z} = n$
$m$=5 for $_{100}$Fm$^{257}$ (the outermost shell) and $z = 100$
$	herefore\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 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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