Structure Of Atom Ques 9

9. According to Bohr’s theory the energy required for an electron in the $Li^{2+}$ ion to be emitted from $n=2$ state is (given that the ground state ionization energy of hydrogen atom is $13.6$ $ eV$ )

[1999]

(a) $61.2 $ $eV$

(b) $13.6 $ $eV$

(c) $30.6 $ $eV$

(d) $10.2 $ $eV$

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Answer:

Correct Answer: 9.(c)

Solution:

  1. (c) Energy of electron in $2nd$ orbit of $Li^{+2}$

$=-13.6 \frac{Z^{2}}{n^{2}}$

$=\frac{-13.6 \times(3)^{2}}{(2)^{2}}=-30.6 $ $eV$

Energy required $=0-(-30.6)=30.6 $ $eV$