Question

The number of spherical nodes in 3p orbital is -

Answer 1

Hint: Quantum mechanical waves, also known as "orbitals," are employed in chemistry to describe the wave-like characteristics of electrons. There are nodes and antinodes in many of these quantum waves. Many of an atom's or covalent bond's characteristics are determined by the number and position of these nodes and antinodes. The number of radial and angular nodes is used to classify atomic orbitals, whereas the bonding character is used to classify molecular orbitals.

Complete answer:
Molecular orbitals with an antinode between nuclei are known as "bonded orbitals," and they help to strengthen the connection. Due to electrostatic repulsion, molecular orbitals with a node between nuclei are unstable and are referred to as ``anti-bonding orbitals," which weaken the connection. The particle in a box is another quantum mechanical notation in which the number of nodes in the wave function may assist predict the quantum energy level—zero nodes corresponds to the ground state, one node to the first excited state, and so on.
The main quantum number (symbolised n) is one of four quantum numbers allocated to each electron in an atom to characterise the state of that electron in quantum mechanics. It is a discrete variable since its values are natural integers (from 1).
The azimuthal quantum number (l) is a quantum number for an atomic orbital that defines its form and determines its orbital angular momentum. The azimuthal quantum number is the second in a series of quantum numbers that characterise an electron's unique quantum state.
Spherical nodes is given by the formula
Spherical nodes =n−l−1
For 3p, l = 1 and n = 3
So, spherical nodes is = n –l – 1 = 3 – 1 – 1 = 1

Note:
The energy levels of the atom are connected with a set of quantum numbers. The four quantum numbers n, l, m, and s define the wave function or orbital, which is the full and unique quantum state of a single electron in an atom. The Pauli exclusion principle states that two electrons belonging to the same atom cannot have the same values for all four quantum numbers.