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For complete description of an electron ...

For complete description of an electron in an atom, the number of quantum numbers required is

A

one

B

two

C

three

D

four

Text Solution

AI Generated Solution

The correct Answer is:
To determine the number of quantum numbers required for the complete description of an electron in an atom, we need to understand the different types of quantum numbers that describe the properties of electrons. Here’s the step-by-step solution: ### Step 1: Identify the Types of Quantum Numbers There are four types of quantum numbers that describe an electron in an atom: 1. **Principal Quantum Number (n)**: This quantum number indicates the main energy level or shell of the electron. It can take positive integer values (n = 1, 2, 3, ...). 2. **Azimuthal Quantum Number (l)**: This quantum number defines the shape of the orbital and can take integer values from 0 to (n-1). Each value of l corresponds to a different type of orbital (s, p, d, f). 3. **Magnetic Quantum Number (m_l)**: This quantum number describes the orientation of the orbital in space. It can take integer values ranging from -l to +l, including zero. 4. **Spin Quantum Number (m_s)**: This quantum number describes the intrinsic spin of the electron, which can be either +1/2 or -1/2. ### Step 2: Count the Quantum Numbers To completely describe an electron in an atom, all four quantum numbers are required: - n (Principal Quantum Number) - l (Azimuthal Quantum Number) - m_l (Magnetic Quantum Number) - m_s (Spin Quantum Number) ### Conclusion Thus, the total number of quantum numbers required for the complete description of an electron in an atom is **4**. ### Final Answer The number of quantum numbers required for the complete description of an electron in an atom is **4**. ---
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