Question

The wave mechanical mechanical model of an atom is based upon which of the following equations?
A: Schrodinger’s equation
B: De broglie’s equation
C: Heisenberg's uncertainty principle
D: All of the above

Answer 1

As we know that wave mechanical model is just like a current theory which is describing the locations of electrons in orbits around the nucleus of an atom. As the number of electrons in a shell of an atom may be described by using an electron notation. So, in this question we have to tell which of the following is based on the wave mechanical model of an atom.

Complete step by step answer:
Firstly Schrodinger equation is a linear partial differential equation that describes the wave function or state function of the quantum mechanical system. In this two parameters are sufficient to describe its state at each instant. Therefore, talking about the second one de Broglie equation that is $\lambda = hmv$ to solve the wavelength of the moving electron. So, according to de Broglie equation these particles tend to behave like a wave with certain finite wavelengths which further suggests the wave-particle dual nature of such particles like electrons.
Last one is the Heisenberg uncertainty principle. So according to this principle we cannot measure the position $\left( X \right)$ and momentum $\left( P \right)$ of a particle with absolute precision like in this principle both position and velocity cannot be measured exactly, at the same time.
So the wave mechanical model is developed by Schrodinger, and this model is based on the particle and wave nature of electrons known as wave mechanical models of atoms. Moreover, the motion of electrons around the nucleus is round motion and it may be considered to the standing waves the waves which are generated by plucking the stretched string. And the amplitude of the standing wave is independent of time and is a function of distance from one fixed end.
Hence, option D is the correct answer.

Note: We know that the electrons in an atom have only quantized value of energy and the wave function $\Psi$ is also called atomic orbital, while the wave function $\Psi$ has no physical meaning the square of the wave function, ${\Psi _2}$ is the probability that the electron will be found at a particular location in an atom.