What is the maximum value of the magnetic quantum number (m_l) when l = 3?

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Question: What is the maximum value of the magnetic quantum number (m_l) when l = 3?

Options:

Correct Answer: 3

Solution:

The magnetic quantum number m_l can take values from -l to +l. For l = 3, m_l can be -3, -2, -1, 0, +1, +2, +3, giving a maximum value of 3.

What is the maximum value of the magnetic quantum number (m_l) when l = 3?

What is the maximum value of the magnetic quantum number (m_l) when l = 3?

Step 1: Understand what the magnetic quantum number (m_l) is. It describes the orientation of an orbital in space.
Step 2: Know that the magnetic quantum number (m_l) can take values from -l to +l.
Step 3: Identify the value of l given in the question, which is 3.
Step 4: List the possible values for m_l when l = 3. These values are -3, -2, -1, 0, +1, +2, +3.
Step 5: Determine the maximum value from the list of possible m_l values. The maximum value is +3.

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