Structure of Atom · Question 38

In a multielectron atom, which of the following orbitals described by three quantum numbers will have same energy in absence of electric and magnetic fields? Choose the correct answer from the options given below:

1. B and C Only
2. C and D Only
3. A and B Only
4. D and E Only

Answer

(4) D and E Only

Solution

In a multielectron atom the energy of an orbital depends on both n and l (the (n+l) rule); orbitals with the same n and same l (differing only in ml) are degenerate in the absence of electric and magnetic fields.

A: 1s; B: 2s; C: 2p; D: 3d; E: 3d.

2s and 2p (B, C) have different l different energies.

D and E are both 3d orbitals (n = 3, l = 2) same energy.

Answer: (4)