# why electon cannot exist in the nucleus?

Dear student!

On the basis of Heisenberg's uncertainty principle, it can be shown as to why electron cannot exist within the atomic nucleus.

Heisenberg's uncertainty principle has described that,

The diameter of atomic nucleus = 10-15 m,

So,if electrons have to be in nucleus , they must have a maximum uncertainty in position as ,Δx = 10-15 m

Now, taking the mass of electron as , m = 9.1 x 10-31 kg, the minimum uncertainty in velocity could be determined as:

Δx . Δp = h/4π

or, Δx . mΔv = h/4π

or Δv = h/(4π . Δx . m)

Putting all the values of the constants, Δv = (6.6 x 10-34 kg m2/s) / (4 x 3.14 x 10-15 m x9.1 x10-31 kg)

Or, Δv = 5.77 x 1010 m/s

Here, we see that the velocity is much higher than the usual velocity of light as 3 x 108 m/s, which is not possible to have in electrons and so the existence of electron in nucleus is not possible.

• 73

because nucleus is positively charged

• -19

Electrons are having negative charges. If they lie inside the nucleus, they will be neutralised by the positive charges. Thus, the atom will have no charged particle and thus unstable. But an atom has both positive and negative charges. Also in sucha situation atoms would not exist.

• -16

rakshana is right and i agree

• -18

The nucleus consists of neutrons(neutral) and protons(positively charged particles). The electrons are negetively charged species. There is an repulsion due to the presence of the charges. further, the nucleus is considered to be positively charged(infact, it really is!), thu s the electrons do not involve with the nucleus.

Electrons can 't exist in the nucleus because if it exists proton and electron will neutralise each other causing the atom to be unstable.

hope it helps u.. plzz thumbs up

• -18
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