I was recently watching a video by the channel Minute Physics, about the effect of quantum tunnelling and it's characteristics. In the video, the presenter told that quantum tunnelling refers to the state of probability of a sub-atomic particle to be in a place it is not supposed to be.

For example, if a ball is rolled down a cliff, in the classical world, there is no chance that the ball will cross the height, where it is thrown form. But, in the quantum world, there is a chance that if a sub atomic particle undergoes the same experiment, it might cross the hill, and there is also a minute chance of the particle being present in the hill.

It was further told that this creates a possibility of an electron been found in the nucleus, along with the protons and the neutrons. But, clearly, according to Heisenberg, this is not possible, as this would cause the speed of electron to be over the speed of light??

https://www.youtube.com/watch?v=cTodS8hkSDg --> This is the link to the video, and I would like for someone to correct me, if wrong, in the explanation of this video, or explain me the phenomenon behind this observation. Thanks!!

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## Comments

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TopNewestWhy would the velocity of the electron be over the speed of light if it is situated in the nucleus?

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(dx)*(dv)>=h/4pi.....if dx is less than radius of nucleus....dv is greater than speed of light....am I ryt@abhineet nayyar

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First of all, the Heisenberg Uncertainty Principal states \(\Delta x \Delta p \ge \frac{h}{4\pi}\). These deltas mean the uncertainty (in the statistics sense); not a specific value of velocity or momentum.

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My hypothesis is that when an electrons enters the nucleus, it doesn't just stay there but combines with a proton to form a neutron and release a neutrino..Is this possible???

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Also, the uncertainty just tells us that we cannot pinpoint the velocity of the particle when we measure it. We can measure the speed of the car at any given "resolution" of space to very precise accuracy. So for your electron case, we can't measure its speed to any accuracy given that we know very well where the electron is located in space. Also, you should think about the electron as a wavefunction that exists throughout all space, so \(\Delta x\) with respect to where the electron is probably found should be greater than 1 angstrom.

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I think we will be all dead! If you heard of the Kardashev scale, we are a TYPE 0 civilization. What you are trying to say is how can we be a TYPE 3 civilization.Log in to reply

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The second para!!

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@Steven Zheng if uncertainity crosses speed of light....actual velocity needs to be greater than that... oh yeah....i made a mistake in typing... m not acquainted wid latex....so thats why

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Yea...That's right @Mayank Srivastava !

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http://www.reuters.com/article/2010/02/15/us-physics-temperature-idUSTRE61E3OB20100215 @Abhineet Nayyar You were right. Here's a more comprehensive resource.

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Bt I think what you say will be correct if the electron were to be in the nucleus all the time.... bt it is free to move moreover if u see the radial probability distribution of 1s orbital.....u ll see that it tends to infinity in the nucleus...

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