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Quantum numbers arise naturally from the mathematics used to describe the possib

ID: 540511 • Letter: Q

Question

Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron 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 (ms) have strict rules which govern the possible values. Identify allowable combinations of quantum numbers for an electron. Select all that apply. n-5, -3, m- 1, ms-1/2 At least one of your choices is incorrect. See the bottom panel for more information n=3,1=2,m,= 0, m,--1/2 n = 4, 1-0, mr= 1, m,-+l/2 n-3, 1-3, m,-0, m,--1/2 n=2,1= 1,m,= 0, m,-0

Explanation / Answer

for value of n , we can have l values from 0 to n-1 , ml can have values from - l to +l   while ms can have only two possible values of +1/2 or -1/2. Based on these we get

n = 5 , l = 3 , ml = 1 , ms = -1/2

n = 3 , l = 2 , ml = 0 , ms = -1/2

these two are allowed