Question

Which statement about Schrödinger’s theory of the atomic model is true?

A.
It proved that the nucleus of an atom is positively charged.
B.
It was the first theory to discuss the existence of electrons.
C.
It explained the odds of finding the position of an electron.
D.
It assumed the electron cloud to be heavier than the nucleus.

Answer 1

Schrodinger give a mathematical expression to define the exact position around the nucleus in term of three coordinates x,y and z.

He used these three coordinates to find out the exact position of electrons around the nucleus in three dimensional space.

On the basis of above concept option C would be correct statement about Schrodinger's theory of the atomic model  

Answer 2

Answer: Option C is correct.

Explanation: There were many scientists before who explained the nature of the electron in an atom. But Schrodinger's model is currently the most studied model. His model is also known as electron-cloud model or quantum mechanical model of atom.

He used some mathematical relation to find the probable position of electron. He was unsuccessful in telling the exact path of the electron but very well explained about the odds of finding the position of an electron.

Schrodinger's equation to find the probability of finding the electron around the nucleus is :

$\frac{\partial ^2\psi}{\partial x^2}+\frac{8\pi^2m}{h^2}(E-V)\psi=0$

where, $\psi$ = Schrodinger wave function

x = position of the electron

m = mass of the electron

E = Kinetic energy of the electron

V = potential energy of the electron

h = Planck's constant