The wave number of electromagnetic radiation emitted during the transition of the electron in between two levels of Li+ ion whose principal quantum numbers sum is 4 and difference is 2 is:
A
3.5 R
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B
4R
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C
8R
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D
89R
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Solution
The correct option is C 8R Wave number ¯ν = 1λ For hydrogen like atoms 1λ=R×Z2[1n21−1n22] n2+n1=4 n2−n1=2 n2=3,n1=1 1λ=R×32[112−132]=9R×89 ⇒¯ν=1λ=8R