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For the quantum state with n=3, l=1, how many possible values can m_l take?
For the quantum state with n=3, l=1, how many possible values can m_l take?
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Q1
For the quantum state with n=3, l=1, how many possible values can m_l take?
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For l=1, m_l can take values -1, 0, 1, which gives 3 possible values.
Questions & Step-by-step Solutions
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Q: For the quantum state with n=3, l=1, how many possible values can m_l take?
Solution:
For l=1, m_l can take values -1, 0, 1, which gives 3 possible values.
Steps: 5
Show Steps
Step 1: Identify the quantum numbers given in the question. Here, n=3 and l=1.
Step 2: Understand what the quantum number l represents. The value of l determines the shape of the orbital and can take values from 0 to n-1.
Step 3: Since l=1, we can find the possible values for m_l. The magnetic quantum number m_l can take values from -l to +l.
Step 4: Calculate the possible values for m_l. For l=1, m_l can be -1, 0, and +1.
Step 5: Count the possible values. The values are -1, 0, and 1, which gives us a total of 3 possible values.
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