If an electron is present in the shell, find the total number of possible angular quantum numbers in this state.
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We know that the Angular Quantum Numbers range from 0 to n − 1 , where n is the Principle Quantum number. That is, when n = n :
l = 1 , 2 , 3 , ⋯ , ( n − 1 )
But we know that the Principle Quantum Number of an electron in the N shell = 4 . Thus the set of all possible Angular Quantum Numbers would be:
l = 0 , 1 , 2 , 3
Thus there are 4 Angular Quantum Numbers at this state.