Apply Bohr’s atomic model to a lithium atom. Assuming that its two K -shell electrons are too

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12.Atoms

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Apply Bohr’s atomic model to a lithium atom. Assuming that its two $K$-shell electrons are too close to nucleus such that nucleus and $K$-shell electron act as a nucleus of effective positive charge equivalent to electron. The ionization energy of its outermost electron is......$eV$

A

$30.6$

B

$3.4$

C

$32.4$

D

$13.6$

Solution

$\Delta E=13.6 z^{2}\left(\frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}}\right) e V$

$\Delta E=13.6 \times(1)^{2}\left(\frac{1}{2^{2}}-\frac{1}{\infty}\right) e V=\frac{13.6}{4} e V$

Standard 12

Physics

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