On the basis of Heisenbergs uncertainty principle show that the electron cannot exist within the nucleus.

Explanation

Radius of the nucleus is of the order of `10^(-13)` cm and thus uncertainty in position of electron , i.e. `(Deltax)`, if it is within the nucleus will be `10^(-13)` cm.
Now, `Deltax*Deltav ge(h)/(4pim)`
`:.Deltavge (6.626xx10^(-27))/(4xx3.14xx9.108xx10^(-28)xx10^(-13))`
`ge5.79xx10^(12)` cm/sec.
i.e., order of velocity of electron will be 100 times greater than the velocity of light which is impossible Thus, possibility of electron to exist in nucleus is zero.