Question

The wave number of first line of Balmer series of
hydrogen is 15200 cm-1. The wave number of the
first Balmer line of Li2+ ion is
(1) 15200 cm-1 (2) 136800 cm-1
(3) 60800 cm-1 (4) 78000 cm-1​

Answer 1

Answer: 136800/cm

Explanation:

For the same transition, The energies of stationary states for  Hydrogen species like He²⁺, Li²⁺, Be³⁺ etc are the integral multiples of Z² times the energies of stationary states for Hydrogen atom.

Li²⁺ ion= Atomic number = Z =3

The wave number of first Balmer line of Li+2 ion=Z² x 15200/cm

=9x15200

=136800/cm 

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