Why can an electron not exist inside the nucleus? Explain by de broglies hypothesis quora?
Answers
The non existence of electron inside the nucleus can be explained by using the concept of Heisenberg’s uncertainty principle.
The basic funda behind this principle is that the position and momentum of a particle cannot be simultaneously measured with arbitrarily high precision. There is a minimum for the product of the uncertainties of these two measurements.
This throws light upon the fact that the measurement of these two parameters is always accompanied by a certain amount of uncertainty. And this even holds good for energy and time as such.
So next if we jump on to the actual question asked it is highly impossible to accommodate electrons inside a nucleus.And this can be theoretically proved using Heisenberg's uncertainty principle.
The atomic radius of any nucleus considered is (10^-15) metre.So for an electron to be inside a nucleus it is supposed to have a maximum uncertainty of (10^-15) metre in position.
We know that the mass of an electron is 9.1*10^(-31) Kg.Now if we further move on by substituting all the known parameter and end up finding the velocity , we get a value equal to 5.77*10^(10) m/s which is higher than the usual velocity of light (3*10^8 m/s).
Therefore it is highly impossible for an electron to exist inside a nucleus.
Hope it helps!!!
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Answer:
Explanation:
The de Broglie hypothesis states that particles of matter also had wavelengths and could behave as waves, just as photons did. String theory will later say that both types of particles — matter and energy — are manifestations of vibrating strings, but that’s about 50 years down the road from de Broglie’s time. He proposed his theory in 1923.Here was de Broglie’s line of reasoning for the bold new theory. Under special relativity, matter and energy were different manifestations of the same thing. The photon, a particle of energy, had a wavelength associated with it. Therefore, particles of matter, such as electrons, should also have wavelengths. His PhD dissertation set out to calculate what that wavelength (and other wave properties) should be