Based on the quantum mechanical model of the atom, match the quantum numbers in List I with their allowed values in List II. List I List II A Principal quantum number ( n ) I -l to +l (including zero) B Azimuthal

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Correct answer: C. A-IV, B-III, C-I, D-II

The principal quantum number ( n ) determines the main energy level or shell and takes positive integer values 1, 2, 3, The azimuthal quantum number ( l ) determines the subshell and takes integer values from 0 to (n-1) . The magnetic quantum number ( m_l ) determines the orientation of the orbital and takes integer values from -l to +l , including zero. The spin quantum number ( m_s ) determines the spin state of the electron and takes values +(1)/(2) or -(1)/(2) . Thus, the correct matching is A-IV, B-III, C-I, D-II. Answer: A-IV, B-III, C-I, D-II

	List I		List II
A	Principal quantum number ( $n$ )	I	$-l$ to $+l$ (including zero)
B	Azimuthal quantum number ( $l$ )	II	$+\dfrac{1}{2}$ or $-\dfrac{1}{2}$
C	Magnetic quantum number ( $m_l$ )	III	$0$ to $(n-1)$
D	Spin quantum number ( $m_s$ )	IV	$1, 2, 3, \dots$

Based on the quantum mechanical model of the atom, match the...

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