No two electrons have the same set of all four quantum numbers.a)Trueb...
Explanation:
Quantum Numbers:
- Quantum numbers are used to describe the unique characteristics of an electron in an atom.
- There are four quantum numbers: principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (ml), and spin quantum number (ms).
Pauli Exclusion Principle:
- The Pauli Exclusion Principle states that no two electrons in an atom can have the same set of all four quantum numbers.
- This means that each electron in an atom must have a unique combination of quantum numbers.
Explanation of True Statement:
- Since each electron in an atom must have a unique set of quantum numbers, no two electrons can have the same combination of all four quantum numbers.
- Even if two electrons have the same values for three quantum numbers, they must differ in the fourth quantum number according to the Pauli Exclusion Principle.
Example:
- For example, if two electrons have the same values of n, l, and ml, they must have different values of ms to comply with the Pauli Exclusion Principle.
Conclusion:
- Therefore, the statement that no two electrons have the same set of all four quantum numbers is true based on the Pauli Exclusion Principle.
No two electrons have the same set of all four quantum numbers.a)Trueb...
Yes, no two electrons have the same set of all four quantum numbers. This is explained by Pauli’s exclusive principle. At most electrons can have all 3 quantum numbers the same as they are in the same orbital. But the spin quantum number’s values are different.