Calculate the wavelength emitted during the transition of electron in between two levels of Li2+ ion whose sum is 4 and difference is 2 .

Q: Calculate the wavelength emitted during the transition of electron in between two levels of Li2+ ion whose sum is 4 and difference is 2.

Sol: Solution: Let the transition occurs between the level n1 and n2 and n2 > n1

Given that n1 + n2 = 4

n2 – n1 = 2

⇒ n1 = 1 and n2 = 3

Therefore , $\large \frac{1}{\lambda} = R_h Z^2 (\frac{1}{1^2} – \frac{1}{3^2})$

$\large \frac{1}{\lambda} = R_h (3)^2 (\frac{1}{1^2} – \frac{1}{3^2})$

λ = 1.14 x 10-6 cm