Heisenberg uncertainty principle (Question 1 (10 Marks)) — UPSC Physics Optional CSE 2016 Paper II

A typical atomic radius is about 5 \times 10^{-15}\,m and the energy of \beta-particle emitted from a nucleus is at most of the order of 1\,\mathrm{MeV}. Prove on the basis of uncertainty principle that the electrons are not present in nuclei.