If λ is the wavelength of hydrogen atom from the transition n =3 to n =1, then what is the wavelength for doubly ionised lithium ion for same transition?

Question

If λ is the wavelength of hydrogen atom from the transition n =3 to n =1, then what is the wavelength for doubly ionised lithium ion for same transition?, λ 3, 3 λ, λ 9, 9 λ

MARKS App · Accepted Answer

For wavelength 1 λ = R Z 2 1 n 1 2 - 1 n 2 2 Here, transition is same So, λ ∝ 1 Z 2 λ H λ L i = Z L i 2 Z H 2 = 3 2 1 2 = 9 λ L i = λ H 9 = λ 9

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