According to Bohr's principle, the relation between principle quantum number $(n)$ and radius of orbit is :
- $ r\propto n $
- $ r\propto {{n}^{2}} $
- $ r\propto \frac{1}{n} $
- $ r\propto \frac{1}{{{n}^{2}}} $
The Correct Option is B
Solution and Explanation
$r_{n}=\frac{n^{2}\, h^{2}}{4 \pi^{2}\,{K} e^{2} \,Z^{2}}$
where all things except $n^{2}$ are constant
$r_{n} \propto n^{2}$
Top Questions on Quantum Mechanical Model of Atom
- The quantum numbers of four electrons are given below:
I. \( n = 4; l = 2; m_l = -2; s = -\frac{1}{2} \)
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IV. \( n = 3; l = 1; m_l = -1; s = +\frac{1}{2} \)
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Concepts Used:
Quantum Mechanical Model of the Atom
Quantum Mechanics:
Quantum mechanics is an evolving and much-advanced field of science that aims at understanding the properties of matter and objects in relation to their corresponding atomic and sub-atomic nature. It further illustrates the characteristics of the atoms, protons, electrons, and neutrons specifically and in the context of each other. It aims at studying electromagnetic radiation as well. This is a sub-part of the wider theory of quantum physics.
Read Also: Quantum Mechanical Model of Atom
Quantum Mechanical Models:
Presently, the scientific world has only two acceptable and working models of quantum mechanics. Such as,
- The first model for the understanding and application of quantum mechanics that is acceptable currently is the Bohr Model.
The basis of this model of the Bohr is seen in terms of mathematics which is used for understanding the complex structures.
- Another acceptable model is the Quantum Mechanics Model which has its basis in quantum theory.
This quantum theory ultimately defines the exact properties of matter over a period of time. It usually works on the uncertainty principle.