Consider the following schematic plots of orb | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) radial node is a region where the probability of finding an electron is zero, which corresponds to the points where the radial wavefunction $\psi(

Vedclass · Accepted Answer

$C$

Vedclass · Answer

(C) radial node is a region where the probability of finding an electron is zero, which corresponds to the points where the radial wavefunction $\psi(r)$ crosses the $r$-axis (i.e.,$\psi(r) = 0$).$1$. In plot $A$, the wavefunction $\psi$ does not cross the $r$-axis, so there are $0$ radial nodes.$2$. In plot $B$, the wavefunction $\psi$ crosses the $r$-axis once, so there is $1$ radial node.$3$. In plot $C$, the wavefunction $\psi$ crosses the $r$-axis twice, so there are $2$ radial nodes.$4$. In plot $D$, the wavefunction $\psi$ crosses the $r$-axis twice, but it starts from zero at $r=0$, which is characteristic of orbitals with $l > 0$ (like $p$ or $d$ orbitals). However, plot $C$ represents an $s$-orbital $(l=0)$ with $2$ radial nodes (e.g.,$3s$ orbital).Thus, the figure representing two radial nodes is $C$.

Consider the following schematic plots of orbital wavefunction $(\psi)$ against distance $(r)$ from the nucleus. The figure representing two radial nodes in the orbital is

Similar Questions

In an atom, the order of increasing energy of electrons with quantum numbers $(i)$ $n=4, l=1$, (ii) $n=4, l=0$, (iii) $n=3, l=2$, and (iv) $n=3, l=1$ is:

An atom with atomic number $15$ contains:

Write about the magnetic quantum number $(m_{l})$.

Explain the differences between the $1s$ and $2s$ orbitals based on their probability density plots and radial distribution.

The number of orbitals in the fourth principal quantum number $(n = 4)$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module