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NEET CHEMISTRYMedium

If the principal quantum number n=6, the correct sequence of filling of electrons will be:

A

ns → np → (n-1)d → (n-2)f

B

ns → (n-2)f → (n-1)d → np

C

ns → (n-1)d → (n-2)f → np

D

ns → (n-2)f → np → (n-1)d

Step-by-Step Solution

According to the Aufbau Principle, orbitals are filled in the order of increasing energy, which is determined by the (n+l)(n+l) rule. For the 6th period (n=6n=6), the orbitals involved are 6s,4f,5d,6s, 4f, 5d, and 6p6p. We calculate their (n+l)(n+l) values:

  1. ns (6s): n=6,l=0n+l=6n=6, l=0 \Rightarrow n+l = 6
  2. (n-2)f (4f): n=4,l=3n+l=7n=4, l=3 \Rightarrow n+l = 7
  3. (n-1)d (5d): n=5,l=2n+l=7n=5, l=2 \Rightarrow n+l = 7
  4. np (6p): n=6,l=1n+l=7n=6, l=1 \Rightarrow n+l = 7

When (n+l)(n+l) values are equal (as with 4f,5d,6p4f, 5d, 6p), the orbital with the lower nn value has lower energy and is filled first. Therefore, the order is 4f<5d<6p4f < 5d < 6p.

Combining with 6s6s, the correct filling sequence is: 6s4f5d6p6s \to 4f \to 5d \to 6p, which corresponds to the general form: ns(n2)f(n1)dnpns \to (n-2)f \to (n-1)d \to np.

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