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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

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a

$\frac{1}{4}$

b

100

c

200

d

4

answer is D.

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Detailed Solution

$\begin{array}{l} (r_{m}) = (\frac{m^{2}}{Z}) (0 .53 \overset{o}{A}) \\ = (n \times 0 .53 \overset{o}{A}) \Rightarrow \frac{m^{2}}{Z} = n \\ m = 5 for_{100} {FM}^{257} (the outermost shell) \\ and z = 100 \Rightarrow n = \frac{{(5)}^{2}}{100} = \frac{1}{4} \end{array}$

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If the atom 100FM257 follows the Bohr model and the radius of 100FM257 is n times the Bohr radius, then find n