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.