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JEE MainChemistryStructure of Atom

The total number of electrons in a completely filled n=3 principal shell that have the magnetic quantum number m_l = 0 is ______

Correct answer

6

Step-by-step solution

For the principal quantum number n=3 , the possible values of the azimuthal quantum number l are 0, 1 , and 2 . For each value of l , there is exactly one orbital with the magnetic quantum number m_l = 0 . Therefore, the number of orbitals with m_l = 0 in this shell is 3 (one each in the 3s, 3p , and 3d subshells). Since the shell is completely filled, each orbital contains exactly 2 electrons according to Pauli's exclusion principle. Total number of electrons = 3 2 = 6 . Answer: 6

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