Modern Physics 1 Question 5

4. AHe+ion is in its first excited state. Its ionisation energy is

(Main 2019, 9 April II)

(a) 54.40eV

(b) 13.60eV

(c) 48.36eV

(d) 6.04eV

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Solution:

  1. Energy of a hydrogen atom like ion by Bohr’s model is En=13.6Z2n2

where, Z =atomic number

and n= principal quantum number.

For a He+ion in first excited state,

n=2,Z=2

E2=13.6×44=13.6eV

So, it’s ionisation energy =(E2)=13.6eV.



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