If an electron is in the state characterized by the quantum numbers n=4, l=0, wh
Practice Questions
Q1
If an electron is in the state characterized by the quantum numbers n=4, l=0, what is the value of m_l?
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Questions & Step-by-Step Solutions
If an electron is in the state characterized by the quantum numbers n=4, l=0, what is the value of m_l?
Step 1: Understand the quantum number 'l'. It represents the angular momentum of the electron.
Step 2: The value of 'l' can be 0, 1, 2, etc. For 'l=0', this corresponds to an s orbital.
Step 3: The magnetic quantum number 'm_l' can take values from -l to +l, including 0.
Step 4: Since 'l=0', the only possible value for 'm_l' is 0 (because -0 to +0 is just 0).
Step 5: Therefore, if an electron is in the state characterized by n=4 and l=0, the value of m_l is 0.
Quantum Numbers – Quantum numbers describe the properties of atomic orbitals and the electrons in those orbitals. The principal quantum number (n) indicates the energy level, the azimuthal quantum number (l) indicates the shape of the orbital, and the magnetic quantum number (m_l) indicates the orientation of the orbital.
Magnetic Quantum Number (m_l) – The magnetic quantum number (m_l) can take on integer values ranging from -l to +l, including zero. For l=0, m_l can only be 0.
