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The wave number of first line of Balmer series of hydrogen is 1520 m - 1 . The wave number of first Balmer line of L i 2 + ion in m - 1 is x . Find the value of x 100 .

Correct answer

136.8

Step-by-step solution

For a given line of hydrogen-like species, frequency, v ̄ ∝ Z 2 So v ̄ 1 v ̄ 2 = Z 1 2 Z 2 2 or v ̄ 2 = v ̄ 2 × Z 2 2 Z 1 2 = 1520 m - 1 × ( 3 ) 2 ( 1 ) 2 = 13680 m - 1

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