Atomic Structure Question 415

Question: In a multi-electron atom, which of the following orbitals described by the three quantum members will have the same energy in the absence of magnetic and electric fields-

[A] $ n=1,l=0,m=0 $ [B] $ n=2,l=0,m=0 $ [C] $ n=2,l=1,m=1 $ [D] $ n=3,l=2,m=1 $ [E] $ n=3,l=2,m=0 $

Options:

A) [D] and [E]

B) [C] and [D]

C) [B] and [C]

D) [A] and [B]

Show Answer

Answer:

Correct Answer: A

Solution:

  • The energy of an orbital is given by $ (n+l) $ . In (D) and (E), $ (n+l) $ value is $ ( 3+2 )=5, $ hence they will have same energy, since here n values are also same.


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