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Question

When the value of principal quantum number n is 3, then the permitted value of azimuthal quantum numbers l and magnetic quantum numbers 'm' are ?

A
l = 0, 1, 2. ; m = 0,+1,-1,+2,-2
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B
l = 1, 2, 3. ; m = 1, +2, 1, -2, +3, +2, 1, -2, -3
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C
l = 0, 1 , 2 ; m = 0, 1, 2 ,3 ,2 ,0, 1,, 2, +3, +2, 1, -2, -3.
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D
l= 1 ,3 ; m = 0, 1, 0, 1, 2, 3
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Solution

The correct option is A l = 0, 1, 2. ; m = 0,+1,-1,+2,-2
When the value of principal quantum number n is 3 the permitted value of azimuthal quantum numbers l and magnetic quantum numbers 'm' are l = 0, 1, 2 m = 0,+1,0,-1,+2,+1,0,-1,-2
For a given value of the principal quantum number, the azimuthal quantum number l can values 0,1 ,2....n-1.
For a given value of azimuthal quantum number, the magnetic quantum number m can take values l,.....2,1,0,+1,+2.....+l

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