Question

Which electronic transition in Li2+ would have same wavelength as third transition in lyman series of H-atom?
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Answer 1

Answer:

Third transition of H atom in lymen series

1/lambda = R(1/n1² - 1/n2²) z²

1/lambda = R(1 - 1/4²) 1²

1/lambda = R(15/16)

lambda = 16/15R

Equating with Li^+2 series

1/lambda = R(1 - 1/n2²) 3²

15R/16 = R(1 - 1/n2²)× 9

15/16×9 = 1 - 1/n2²

1/n2² = 1 - 15/144 = 129/144

n2² = 144/129

n2 = 1.05

hope this will help you