Question

The angular part of the wave function depends on the quantum numbers-
(A) n
(B) l
(C) m
(D) s

Answer 1

Hint: The angular part of the wave function gives an idea about the orbital picture of the atom. It is dependent on the angular variables. There are four quantum numbers to identify the position of an electron in an atom.

Complete step by step solution:
Let’s look at the answer of the given question:
*The wave function of an electron is made up of two parts, the radial part and the angular part.
*The radial part of the wave function gives us an idea about the radial distance of the electron from the nucleus. It is dependent on the quantum numbers ‘n’ and ‘l’.
*The angular part of the wave function gives us an idea about the orientation of the orbitals in space. It is dependent on the quantum numbers ‘l’ and ‘m’.
*Quantum numbers tell us about the state of the electron in an atom.
*The ‘n’ is known as Principal quantum number. It tells us about the shell in which the electron is present.
*The ‘l’ is known as the Azimuthal quantum number. It tells us about the sub-shell in which the electron is present.
*The ‘m’ is known as the Magnetic quantum number. It tells us about orbitals in which the electron is present.
So, we have seen that the angular part of the wave function is dependent on ‘l’ and ‘m’.
Hence, the answers are option (B) and (C).

Note: The angular part of the wave function helps us to describe the direction of the orbital in which the electron may be found. ‘l’ also gives us the orbital angular momentum of the electron.