The Energy Expressions for the Electrons in the He⁺ Ion

question 55

Multiple Choice

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 , the frequency is larger for H than for He+.
II. The first ionization energy of the H atom is smaller than the second.
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:

Digestive System

Organ system that consists of digestive organs (stomach, intestines, etc.) and accessory organs (liver, etc.); ingests and digests food; absorbs nutrients and eliminates wastes.

Photosynthesis

A biochemical process in green plants and certain other organisms that converts light energy into chemical energy, using carbon dioxide and water to produce glucose and oxygen.

By-product

A secondary product generated as a result of a manufacturing process, chemical reaction, or biological pathway, which was not the primary product or goal.

Thermodynamics

The branch of physics that deals with the relationships between heat and other forms of energy, and how energy affects matter.