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 $ $eV$
Show Answer
Answer:
Correct Answer: 9.(c)
Solution:
- (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 $ $eV$