chemistry problem

Question

For a He⁺, calculate the wavelength of light (in m) that would be emitted for the orbital transition of n(initial) = 3 to n(final) = 2. Submit an answer to four significant figures. The Rydberg constant is 1.09678 x 10⁷ m⁻¹.

Answer 1

Treating the He⁺ ion like a hydrogen atom, as they are both 1 electrons systems:

1/λ = 1.09678x10⁷m^-1 (1/n_f² - 1n_i²)

λ = ?

n_f = 2

n_i = 3

1/λ = 1.09678x10⁷m^-1 (1/4 - 1/9)

1/λ = 1.09678x10⁷m^-1 (0.1389)

1/λ = 1.5234x10⁶

λ = 6.564x10^-7 m