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

question 21

Multiple Choice

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.

• A) III only
• B) I and II only
• C) I only
• D) I, II, and III
• E) II only

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Definitions:

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The use of software to create a virtual model of a real-world system or process to study its behavior under various conditions.

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Ranges generated through a stochastic process, used in simulations and statistical sampling to represent uncertain outcomes.

Random Numbers

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Computer Simulation

A method that uses algorithms and computational models to replicate complex systems and study their behavior under various conditions.