Question

Match the following

Column 1	Column 2
The orbital with no angular node is	(p) $4f$
The orbital with three angular nodes is	(q) $3s$
The d-orbital with two angular nodes	(r) $3{d_{{x^2} - {y^2}}}$
The d-orbital with two nodal surfaces	(s) $5{d_{xy}}$

Answer 1

Quantum numbers are a set of values which describe the energy associated with energy levels of atoms. There are four quantum numbers for each electron which explains the energy, spin, magnetism and nodes of the electrons. Angular nodes are equal to the azimuthal quantum number l.

Complete step by step answer:
Quantum numbers are a set of values which explain the energy levels of the atoms containing electrons. Each electron is described with the help of four quantum numbers which denote an electron’s energy,
spin, magnetism and nodes. These four are- principal quantum number (n), azimuthal quantum number (l), spin quantum number (ms) and magnetic quantum number (ml).
Angular nodes refer to the x, y or z plane space where electrons are not present so it is referred to as a node. It is equal to azimuthal quantum number of an electron which is denoted by l. Each subshell is assigned an azimuthal quantum number which are- s=0, p=1, d=2, f=3 this means that, s has 0 angular nodes, p subshell has 1 angular node, d subshell has 2 angular nodes and f has 3 angular nodes.

So, column 1 of the given question has:
A.The orbital with no angular node is no angular node means that l=0. And s subshell has zero angular nodes. Therefore, the correct option from column 2 is (q) $3s$
B.The orbital with three angular nodes is the subshell with three angular nodes is subshell f. Thus, l for f is equal to 3. So, the correct option from column 2 is (p) $4f$
C.The d-orbital with two angular nodes d subshell has two angular nodes and l=2. So, the correct option from column 2 is (r) $3{d_{{x^2} - {y^2}}}$
D.The d-orbital with two nodal surfaces d subshell has two angular nodes that is, l=2 and dxy forms nodal surfaces and cones. So, the correct option from column 2 is (s) $5{d_{xy}}$

Column 1	Column 2
(A)	(p)
(B)	(q)
(C)	(r)
(D)	(s)

Note: Orbitals are three dimensional spaces where electrons are located. Atomic orbital is the function which gives the probability of locating an electron of an atom in a specific region. These orbitals are based on energy levels. s, p, d and f are four orbitals in an atom. s has the least energy level and f has the highest energy level.