Question

Which of the following statement(s) is/are correct?

• A. Radial function [R(r)] a part of wave function is dependent on quantum number n only.
• B. Angular function depends only on the direction and is independent of the distance from the nucleus.
• C. ${\Psi }^2(r,\theta ,\varphi )$ is the probability density of finding the electron over a given volume
• D. Radial distribution function $\left(4\pi r^2{R}^2\right)$ gives the probability of the electron being present at a distance r from the nucleus.

Answer 1

Answer: (B), (C), (D)

The correct options are
B Angular function depends only on the direction and is independent of the distance from the nucleus.
C ${\Psi }^2(r,\theta ,\varphi )$ is the probability density of finding the electron over a given volume
D Radial distribution function $\left(4\pi r^2{R}^2\right)$ gives the probability of the electron being present at a distance r from the nucleus.

Angular function depends only on the direction and is independent of the distance from the nucleus as they are angle dependent only. ${\psi }^2(r,\theta ,\varphi )$ is the probability density of finding the electron over a given volume. Radial distribution function $\left(4\pi r^2{R}^2\right)$ gives the probability of the electron being present at a distance r from the nucleus.