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If an electron is in the state characterized by the quantum numbers n=4, l=2, wh
If an electron is in the state characterized by the quantum numbers n=4, l=2, what is the value of m_l?
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If an electron is in the state characterized by the quantum numbers n=4, l=2, what is the value of m_l?
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For l=2, m_l can take values -2, -1, 0, 1, 2. Therefore, all of the options are valid.
Questions & Step-by-step Solutions
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Q: If an electron is in the state characterized by the quantum numbers n=4, l=2, what is the value of m_l?
Solution:
For l=2, m_l can take values -2, -1, 0, 1, 2. Therefore, all of the options are valid.
Steps: 5
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Step 1: Understand the quantum numbers. The quantum number 'n' represents the energy level, and 'l' represents the angular momentum quantum number.
Step 2: Identify the value of 'l'. In this case, 'l' is given as 2.
Step 3: Determine the possible values of 'm_l'. The magnetic quantum number 'm_l' can take values from -l to +l, including zero.
Step 4: Calculate the range of 'm_l' values. Since 'l' is 2, 'm_l' can be -2, -1, 0, 1, or 2.
Step 5: Conclude that all these values (-2, -1, 0, 1, 2) are valid for 'm_l'.
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