The order of filling electrons in the orbitals of an atom follows the Aufbau principle, which states that electrons fill the lowest energy orbitals first before moving to higher energy orbitals. The order of filling is based on the increasing energy of the subshells, which is determined by their principal quantum numbers (n) and azimuthal quantum numbers (l).
Here's the correct order of filling for the given options:
A. 3d, 4s, 4p, 4d, 5s
B. 4s, 3d, 5s, 4d
C. 5s, 4p, 3d, 5s (Note: 5s appears twice in this option, which is not correct)
D. 3d, 4p, 4s, 4d, 5s
Let's correct option C first:
C. The order given in option C is: 5s, 4p, 3d, 5s, which is not in the correct order of filling. The 5s orbital should come after the 4s and 4p orbitals.
Now, let's compare the remaining options (A, B, and D):
A. 3d, 4s, 4p, 4d, 5s
B. 4s, 3d, 5s, 4d
D. 3d, 4p, 4s, 4d, 5s
The correct order of filling is:
1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, ...
Option A and Option D both have the correct order of filling for the orbitals based on the Aufbau principle. The only difference is the initial filling of the 3d and 4s orbitals. In the periodic table, the 4s orbital is filled before the 3d orbital, so Option A is the more accurate representation of the order of filling electrons in the orbitals of an atom. Therefore, the correct answer is:
A. 3d, 4s, 4p, 4d, 5s