In a multi - electron atom, which of the following orbitals described by the three quantum numbers will have the same energy in the absence of magnetic acid and electric fields?
(a)
(b)
(c)
(d)
(e)
(a)
(b)
(c)
(d)
(e)
- (A)(a) and (b)
- (B)(b) and (c)
- (C)(c) and (d)
- (D)(d) and (e)✓ Correct
Answer: (D)
Solution
In a multi-electron atom the energy of an orbital is set by the principal and azimuthal quantum numbers together, and , while the magnetic quantum number makes no difference unless an external field is applied. Scanning the list for a matching pair of and , the orbitals with (the set) appear twice, in (d) with and in (e) with . Since they share the same and and differ only in , those two have the same energy.
JEE Main · 2005 · 08 May 2005 · Offline · Single correct option