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 quantum number ( l ) II + 1 2 or - 1 2 C Magnetic quantum number ( m_l ) III 0 to (n-1) D Spin quantum number ( m_s ) IV 1, 2, 3, Choose the correct answer from the options given below :

Step-by-step solution

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. A