The Balmer-Rydberg equation can be extended to ions with only one electron,such as He⁺.In that case it has the form: 1/λ = Z²R(1/m² - 1/n²),where Z is the atomic number.What is the energy of the photon required to promote an electron in He⁺ from a 1s orbital to a 2p orbital? A)(3/4)hcR B)3hcR C)4hcR D)12hcR

Question

Quizplus · Accepted Answer

For the transition from 1s to 2p orbit, we have: m^{= 1, n^{= 2, m} = 0, and n} = 3 Substituting these values in the given equation: 1/λ = Z²R(1/1 - 1/3) 1/λ = Z²R(2/3) Or, λ = 3/2Z²R(1 - 1/2²) Energy of the photon required = hc/λ = 3hc/2Z²R(3/4) = (3/4)hcR/Z² Therefore, the answer is B.

The Balmer-Rydberg Equation Can Be Extended to Ions with Only