Q- The first three energy levels of the fictitious element X are E₁ = -3.8 eV, E₂ = -1.7 eV, and E₃ = -1.2 eV. Element X has one electron in the ground state.

(a) What is the ionization energy of element X?

(b) Calculate the (i) shortest and (ii) next-shortest wavelengths observed in the absorption spectrum of element X.

(c) An electron with a speed of 1.1 X 10⁶ m/s collides with an atom of element X. Shortly afterward, the atom emits a 2482 nm photon. What was the electron's speed after the collision? Assume that, because the atom is so much more massive than the electron, the recoil of the atom is negligible.

Solution: