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Question

Chemistry Question on Quantum Mechanical Model of Atom

The following sets of quantum numbers represent four electrons in an atom. (i) n=4,l=1n=4, \,l= 1 \quad \quad(ii) n=4,l=0n=4,\, l=0 (iii) n=3,l=2n = 3,\,l=2 \quad \quad (iv) n=3,l=1n = 3,\,l= 1 The sequence representing increasing order of energy, is

A

(iii) < (i) < (iv) < (ii)

B

(iv) < (ii) < (iii) < (i)

C

(i) < (iii) < (ii) < (iv)

D

(ii) < (iv) < (i) < (iii)

Answer

(iv) < (ii) < (iii) < (i)

Explanation

Solution

(i) 4 p \quad \quad (ii) 4 s (iii) 3 d \quad \quad (iv) 3 p According to Bohr Bury's (n + \ell) rule, increasing order of energy will be (iv) < (ii) < (iii) < (i). If the two orbitals have same value Of (n | \ell) then the orbital with lower value of n will be filled first.