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The arguments of two students is as given:

Student 1 : “We need four quantum numbers to represent an electron in a multi-electron atom.” 

Student 2 : “We need only first three quantum numbers to represent an electron in a multi-electron atom.” 

(a) Which are the four quantum numbers? 

(b) Who is correct? Why? 

(c) Write the possible four quantum numbers of the valence electron of Na atom.

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(a) The four quantum numbers are: 

(i) Principal quantum number (n) 

(ii) Azimuthal quantum number (l) 

(iii) Magnetic quantum number (m ) 

(iv) Spin quantum number (m ) 

(b) The argument of student 1 is correct. If there are two electrons in the same subshell the first three quantum numbers become the same. Hence we need fourth quantum number to identify the electron. 

(c) n = 3, l = 0, m = 0, s = +½

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