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The wave number of electromagnetic radiation emitted during the transition in between two energy levels of Li^2+ ion whose principal quantum number sum is 4 and difference is 2, is

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The wave number of electromagnetic radiation emitted during the transition in between two energy levels of Li2+ ion whose principal quantum number sum is 4 and difference is 2, is

(a) 3.5 RH

(b) 4 RH

(c) 8 RH

(d) 8/9 RH

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Correct answer: (c) 8 RH

Explanation:

n1 + n2 = 4  .....(i)

n2 - n1 = 2  .....(ii)

n1 = 1, n2 = 3

\(\bar v\) = RHZ2 \(\Big(\frac{1}{n_1^2} - \frac{1}{n^2_2} \Big)\)

= RH x 32 x \(\Big[\frac{1}{1^1} - \frac{1}{3^2} \Big]\)

= 8 RH

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