Consider the following portion of the energy-level diagram for hydrogen:
-The energy expressions for the electrons in the He⁺ ion and the hydrogen atom are
E_n (H) = -a/n² and E_n (He⁺) = -4a/n²
Which of the following statements is(are) correct?
i.For the transitions n₁ → n₂ , the frequency is larger for H than for He⁺.II.The first ionization energy of the H atom is smaller than the second ionization energy of the He atom.III.The 1s orbital in He⁺ is larger (in the sense that the probability density is shifted outward) than the 1s orbital in H.

Question

Consider the following portion of the energy-level diagram for hydrogen:

-The energy expressions for the electrons in the He⁺ ion and the hydrogen atom are
E_n (H) = -a/n² and E_n (He⁺) = -4a/n²
Which of the following statements is(are) correct?
i.For the transitions n₁ → n₂ , the frequency is larger for H than for He⁺.II.The first ionization energy of the H atom is smaller than the second ionization energy of the He atom.III.The 1s orbital in He⁺ is larger (in the sense that the probability density is shifted outward) than the 1s orbital in H.

Quizplus · Accepted Answer

The second ionization energy of He is larger than the first ionization energy of H because He+ has a higher nuclear charge, making it more difficult to remove an electron.

Consider the Following Portion of the Energy-Level Diagram for Hydrogen