Final answer:
The set of four quantum numbers that corresponds to an electron in a 4f orbital is n = 4, l = 3, m = 2, s = -1/2.
Step-by-step explanation:
The set of four quantum numbers that corresponds to an electron in a 4f orbital is option A) n = 4, l = 3, m = 2, s = -1/2.
The first quantum number, n, represents the principal energy level and can have positive integer values. In this case, n = 4.
The second quantum number, l, represents the azimuthal quantum number and determines the shape of the orbital. For a 4f orbital, l = 3.
The third quantum number, m, represents the magnetic quantum number and determines the orientation of the orbital in space. For a 4f orbital, m = 2.
The fourth quantum number, s, represents the spin quantum number and determines the spin of the electron. It can have a value of either +1/2 or -1/2. For the 4f orbital, s = -1/2.