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Q.

 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   

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a

100

b

200

c

4

d

\frac{1}{4}

answer is D.

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Detailed Solution

({r_m}) = \left( {\frac{{{m^2}}}{Z}} \right)\,(0.53{\AA}) = (n \times 0.53{\AA}) \Rightarrow \frac{{{m^2}}}{Z} = n

m = 5 for _{100}F{m^{257}}  (the outermost shell)

and\,\,z = 100 \Rightarrow n = \frac{{{{(5)}^2}}}{{100}} = \frac{1}{4}

 

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