apling Learning acnilian learning Quantum numbers arise naturally from the mathe

Question

apling Learning acnilian learning Quantum numbers arise naturally from the mathematics used to describe the possible states of an electro in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number () the magnetic quantum number (m), and the spin quantum number (ma) have strict rules which govern the possible values. Identify allowable combinations of quantum numbers for an electron. Select all that apply. n=2,1= 1, m,--1,m=-1 n-5, 1-3, mr=0, ms= +12

Explanation / Answer

for some value n
value of l can be from 0 to (n-1)

and for some l
value of ml can be from -l to l

and ms can have value -1/2 and +1/2

according to above given condition
n = 3, l = -2, ml = 0, ms = +1/2
l can not have negative value
so, this is not allowed

n = 2, l = 1, ml = -1, ms = -1
ms can not have value -1
so, this is not allowed

n = 4, l = 3, ml = 4, ms = -1/2
for l = 3 , ml can have value from -3 to 3
so, ml = 4 is not correct here
so, this is not allowed

n = 5, l = 3, ml = 0, ms = +1/2
this satisfy all the above condition correctly
so, this is allowed

n = 3, l = 2, ml = 0, ms = +1/2
this satisfy all the above condition correctly
so, this is allowed

n = 4, l = 4, ml = 0, ms = +1/2
for n = 4 , l can have value from 0 to 3
so, l = 4 is not correct here
so, this is not allowed

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