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No two electrons in an atom will have al...

No two electrons in an atom will have all the four quantum numbers same. This statement is known as

A

Hund's rule

B

Aufbau principle

C

Uncertainty principle

D

Pauli's exclusion principle

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To solve the question, we need to identify the statement that describes the principle that no two electrons in an atom can have the same set of all four quantum numbers. Here’s a step-by-step solution: ### Step 1: Understand Quantum Numbers Quantum numbers describe the properties of electrons in an atom. There are four types of quantum numbers: 1. **Principal Quantum Number (n)**: Indicates the energy level of the electron. 2. **Azimuthal Quantum Number (l)**: Indicates the shape of the orbital. 3. **Magnetic Quantum Number (m_l)**: Indicates the orientation of the orbital. 4. **Spin Quantum Number (m_s)**: Indicates the spin of the electron. ### Step 2: Analyze the Statement The statement "No two electrons in an atom will have all four quantum numbers the same" implies that if one electron has a specific set of quantum numbers, no other electron can have the exact same set. ### Step 3: Identify the Principle This statement is a fundamental principle in quantum mechanics known as the **Pauli Exclusion Principle**. It states that in a single atom, no two electrons can occupy the same quantum state simultaneously. ### Step 4: Conclusion Thus, the correct answer to the question is that this statement is known as the **Pauli Exclusion Principle**. ### Final Answer The statement "No two electrons in an atom will have all four quantum numbers the same" is known as the **Pauli Exclusion Principle**. ---

To solve the question, we need to identify the statement that describes the principle that no two electrons in an atom can have the same set of all four quantum numbers. Here’s a step-by-step solution: ### Step 1: Understand Quantum Numbers Quantum numbers describe the properties of electrons in an atom. There are four types of quantum numbers: 1. **Principal Quantum Number (n)**: Indicates the energy level of the electron. 2. **Azimuthal Quantum Number (l)**: Indicates the shape of the orbital. 3. **Magnetic Quantum Number (m_l)**: Indicates the orientation of the orbital. 4. **Spin Quantum Number (m_s)**: Indicates the spin of the electron. ...
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