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JEE MainChemistryStructure of Atom

Which of the following sets of quantum numbers describes a maximum of exactly 6 electrons in a hypothetical atom?

Options

  1. An = 4, m _ l = +2
  2. Bn = 3, m _ s = - 1 2
  3. Cn = 5, m _ l = -2
  4. Dn = 4, l = 3, m _ s = + 1 2

Correct answer

C. n = 5, m _ l = -2

Step-by-step solution

Evaluate each set of quantum numbers to find the maximum number of electrons it can describe: For n = 4, m _ l = +2 : The principal quantum number n = 4 allows l = 0, 1, 2, 3 . The magnetic quantum number m _ l = +2 requires l 2 . Thus, the valid l values are 2 and 3 . This corresponds to 2 orbitals, which can hold a maximum of 2 2 = 4 electrons. For n = 3, m _ s = - 1 2 : The shell n = 3 contains n ^2 = 9 orbitals. Each orbital can hold exactly one electron with spin m _ s = - 1 2 . Thus, the maximum number of ele

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