What electronic transition in `Li^(2+)` produces the radiation of the same wave length as the first line in the Lyman series of hydrogen?

Options

A. n = 4 to n = 2
B. n = 9 to n = 6
C. n = 9 to n = 3
D. n = 6 to n = 3

Answer

D

Explanation

`bar(upsilon) = Z^2 R [ 1/(n_1^2) - 1/(n_2^2)]` and E = `hc bar(upsilon)`
`" "Li^(2+) " "H`
`(3)^2 (1/(n_1^2) - 1/(n_2^2)) = (1)^2 (1/((1)^2) - 1/((2)^2))`
on solving `n_1 =2 , n_2 = 4`