Zeeman and Stark's effects can be explained by quantum numbers.
Magnetic
The explanation for the correct option: (C)
The explanation for the incorrect options:
(A) Zeeman and Stark's effects can be explained by a magnetic quantum number, not a principal quantum number.
(B) It is not the azimuthal quantum number that explained the Zeeman and Stark's effects.
(D) Zeeman and Stark's effects cannot be explained by spin quantum numbers.
Hence, option (C) is correct - Zeeman and Stark's effects can be explained by magnetic quantum number.