Gujarati
12.Atoms
medium

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

A$100$
B$200$
C$4$
D$0.25$
(IIT-2003)

Solution

(d) $({r_m}) = \left( {\frac{{{m^2}}}{Z}} \right)\,(0.53{\mathring A}) = (n \times 0.53{\mathring A})$
==> $\frac{{{m^2}}}{Z} = n$
$m = 5$ for $_{100}F{m^{257}}$         (the outermost shell)
and $z = 100$ ==> $n = \frac{{{{(5)}^2}}}{{100}} = \frac{1}{4}$
Standard 12
Physics

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