prove that an electron cannot exist in the nucleus

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prove that an electron cannot exist in the nucleus

Physics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Hi Krishna! when electron exist in the nucleus then proton and electron collapsed. So atom could not exist. unless atom the whole universe couldn't exist. This is the theoretical fact. But I don't know the mathematical proof.
Using quantum mechanics you could mathematically calculate that the probability of an electron existing inside the electron is nearly zero!. Also using the Heisenberg's uncertainity principle if electron were confined to nucleus then the uncertainity in it's velocity exceeds the velocity of light which is well not so good :P.

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if u plot the solutions to schrodingers eqn fr an electron u get (psi)^2 tends to zero as r tends to zero...hence the probability of finding an electron at r=0, nucleus, is zero

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