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Question

Total number of orbitals in a shell is given by _____.


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Solution

Principal quantum number:

  • Principal quantum numbers are denoted by the symbol ‘n’. They designate the principal electron shell of the atom.
  • For example, HeliumHe has an atomic number 2 and its electronic configuration is 1s2 and has a principal quantum number 1.

Total number of orbitals:

  • The number of orbitals associated with the principal quantum number n is given by n2.
  • For example, the number of orbitals in the case of HeliumHe will be 12 i.e. 1.

Thus, the total number of orbitals in a shell is given by n2.


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