The total number of different quantum states are possible if the principal quantum number is n = 5 are 50.
Quantum number is the set of numbers that describe the position and energy of the electron in an atom.
The allowed orbital quantum numbers l and ml are
0 ............1
-1, 0, +1 .................3
-2, -1, 0, 1, 2 ...................5
-3, -2, -1, 0,1 ,2,3...................7
-4,-3,-2,-1,-,1,2,3,4....................9
Total = 2 x (1+3+5+7+9)
= 50
Thus, 50 different quantum states are possible.
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