Modern Physics 1 Question 27

24. 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

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Solution:

  1. For hydrogen and hydrogen like atoms

En=13.6(Z2)(n2)eV

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

E1=(13.6)(3)2(1)2=122.4eV

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



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