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Question

The wave number of the first line of Balmer series of H-atom is 15200 cm1. The wave number of first Balmer line of Li2+ ion is:

A
15200 cm1
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B
60800 cm1
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C
76000 cm1
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D
136800 cm1
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Solution

The correct option is D 136800 cm1
We know that,
1λz2

νz2

ν1ν2=Z12Z22

Wavenumber of the first line of Balmer series of Li2+=9× wave number of the first line of Balmer series of H.

=9×15200=136800 cm1

Hence, option D is correct.

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