In a hydrogen atom, what is the energy of the electron in the ground state? (Use

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Question: In a hydrogen atom, what is the energy of the electron in the ground state? (Use Rydberg\'s constant R = 13.6 eV) (2023)

Options:

Correct Answer: -13.6 eV

Exam Year: 2023

Solution:

The energy of the electron in the ground state of hydrogen is -13.6 eV.

In a hydrogen atom, what is the energy of the electron in the ground state? (Use Rydberg's constant R = 13.6 eV) (2023)

In a hydrogen atom, what is the energy of the electron in the ground state? (Use Rydberg's constant R = 13.6 eV) (2023)

Step 1: Understand that the ground state of an atom is the lowest energy state of its electron.
Step 2: Know that for a hydrogen atom, the energy of the electron in the ground state is given by a specific value.
Step 3: Use Rydberg's constant, which is provided as 13.6 eV.
Step 4: Recognize that the energy of the electron in the ground state is negative, indicating it is bound to the nucleus.
Step 5: Conclude that the energy of the electron in the ground state of hydrogen is -13.6 eV.

Energy Levels in Hydrogen Atom – The energy levels of an electron in a hydrogen atom are quantized, with the ground state being the lowest energy level, calculated using Rydberg's constant.