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(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(

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$C$

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(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

Arrange the following in the increasing order of their energy:
$(i)$ $n = 2, l = 0, m_l = 0, m_s = +\frac{1}{2}$
$(ii)$ $n = 2, l = 1, m_l = +1, m_s = -\frac{1}{2}$
$(iii)$ $n = 3, l = 2, m_l = +1, m_s = -\frac{1}{2}$
$(iv)$ $n = 3, l = 1, m_l = -1, m_s = +\frac{1}{2}$

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