Question: In a hydrogen atom, what is the energy of the electron in the ground state?
Options:
-13.6 eV
-3.4 eV
-1.51 eV
0 eV
Correct Answer: -13.6 eV
Solution:
The energy of the electron in the ground state of a hydrogen atom is -13.6 eV.
In a hydrogen atom, what is the energy of the electron in the ground state?
Practice Questions
Q1
In a hydrogen atom, what is the energy of the electron in the ground state?
-13.6 eV
-3.4 eV
-1.51 eV
0 eV
Questions & Step-by-Step Solutions
In a hydrogen atom, what is the energy of the electron in the ground state?
Correct Answer: -13.6 eV
Step 1: Understand that a hydrogen atom has one electron and one proton.
Step 2: The ground state is the lowest energy level of the electron in the atom.
Step 3: The energy of the electron in the ground state is calculated using a formula from quantum mechanics.
Step 4: The formula for the energy of the electron in the ground state of hydrogen is E = -13.6 eV.
Step 5: The negative sign indicates that the electron is bound to the nucleus and has less energy than a free electron.
Energy Levels in Hydrogen Atom – The energy levels of electrons in a hydrogen atom are quantized, with the ground state being the lowest energy level, calculated using the formula E_n = -13.6 eV/n^2, where n is the principal quantum number.
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