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Which of the following sets of quantum numbers is not possible?

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Question: Which of the following sets of quantum numbers is not possible?

Options:

  1. n=3, l=2, m_l=1
  2. n=2, l=1, m_l=2
  3. n=4, l=3, m_l=0
  4. n=1, l=0, m_l=0

Correct Answer: n=2, l=1, m_l=2

Solution: 

For l=1, m_l can only be -1, 0, or +1. Therefore, m_l=2 is not possible.

Which of the following sets of quantum numbers is not possible?

Practice Questions

Q1
Which of the following sets of quantum numbers is not possible?
  1. n=3, l=2, m_l=1
  2. n=2, l=1, m_l=2
  3. n=4, l=3, m_l=0
  4. n=1, l=0, m_l=0

Questions & Step-by-Step Solutions

Which of the following sets of quantum numbers is not possible?
Correct Answer: m_l=2
  • Step 1: Understand what quantum numbers are. They describe the properties of electrons in an atom.
  • Step 2: Identify the quantum numbers involved: n (principal), l (angular momentum), and m_l (magnetic).
  • Step 3: Know the rules for the quantum numbers: l can take values from 0 to n-1.
  • Step 4: For l=1, the possible values for m_l are -1, 0, and +1.
  • Step 5: Check the given m_l value. If m_l=2, it is outside the allowed range for l=1.
  • Step 6: Conclude that m_l=2 is not a possible value when l=1.
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