Modern Physics Ques 35

  1. As per Bohr model, the minimum energy (in $eV$ ) required to remove an electron from the ground state of doubly ionized Li atom $(Z=3)$ is

(1997, 1M)

(a) $1.51$

(b) $13.6$

(c) $40.8$

(d) $122.4$

Show Answer

Answer:

Correct Answer: 35.(d)

Solution:

Formula:

Energy In nth Orbit:

  1. For hydrogen and hydrogen like atoms

$ E _n=-13.6 \frac{\left(Z^{2}\right)}{\left(n^{2}\right)}$ $ eV $

Therefore, ground state energy of doubly ionised lithium atom $(Z=3, n=1)$ will be

$ E _1=(-13.6) \frac{(3)^{2}}{(1)^{2}}=-122.4$ $ eV $

$\therefore$ Ionisation energy of an electron in ground state of doubly ionised lithium atom will be $122.4 $ $eV$.



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