What is the relationship between the principal quantum number (n) and the energy

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Question: What is the relationship between the principal quantum number (n) and the energy of an electron in a hydrogen atom?

Options:

Correct Answer: Energy increases with increasing n

Solution:

In a hydrogen atom, the energy of an electron increases with increasing principal quantum number (n).

What is the relationship between the principal quantum number (n) and the energy of an electron in a hydrogen atom?

What is the relationship between the principal quantum number (n) and the energy of an electron in a hydrogen atom?

Step 1: Understand that the principal quantum number (n) is a number that describes the energy level of an electron in an atom.
Step 2: Realize that in a hydrogen atom, the principal quantum number can take positive integer values (1, 2, 3, ...).
Step 3: Know that as the value of n increases, the electron is found further from the nucleus of the atom.
Step 4: Recognize that the energy of the electron is related to its distance from the nucleus; the further away it is, the higher its energy.
Step 5: Conclude that as n increases, the energy of the electron also increases.

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