If the principal quantum number n = 4, what are the possible values of l?

Practice Questions

Q1
If the principal quantum number n = 4, what are the possible values of l?
  1. 0, 1, 2, 3
  2. 1, 2, 3, 4
  3. 0, 1, 2, 3, 4
  4. 0, 1, 2

Questions & Step-by-Step Solutions

If the principal quantum number n = 4, what are the possible values of l?
Correct Answer: 0, 1, 2, 3
  • Step 1: Understand that the principal quantum number 'n' indicates the energy level of an electron in an atom.
  • Step 2: Know that the azimuthal quantum number 'l' describes the shape of the orbital and can take values from 0 to (n-1).
  • Step 3: Since 'n' is given as 4, calculate the maximum value for 'l' by subtracting 1 from 'n': 4 - 1 = 3.
  • Step 4: List the possible values for 'l', which are all the integers from 0 to 3: 0, 1, 2, 3.
  • Principal Quantum Number – The principal quantum number (n) indicates the energy level of an electron in an atom and can take positive integer values.
  • Azimuthal Quantum Number – The azimuthal quantum number (l) defines the shape of the orbital and can take integer values from 0 to (n-1).
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