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

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 (l), the magnetic quantum number (m_1), and the spin quantum number (m_2) have rules which govern the possible values. Identify allowable combinations of quantum numbers for an electron. Select all that apply n=3, l =-2, m_1=-1, m_s = -1/2 n=3, l=2, m_t=-1, m_s=+1/2 n=4, l=1, m_t=2, m_s=-1/2 n=5, l=4, m_1=0, m_s=+1/2 n=6, l=6, m_t=-1, m_s=-1/2 n=2, l=1, m_1=0, m_s= -1

Explanation / Answer

for given value of n , acceptable values are l can take 0 to n-1 , ml can take from - l to +l , ms will have only two values possible +1/2 and -1/2 based on these

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

n = 5 , l =4 , ml = 0 , ms = +1/2

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