Alpha particles — UPSC Physics Optional IFoS 2025 Paper II

An alpha particle is trapped in a nucleus of radius 1\cdot 4\text{ fm}. What is the probability that it will escape from the nucleus if its energy is 2\text{ MeV}? The potential barrier at the surface of the nucleus is 4\text{ MeV}. [Given : The mass of the alpha particle is 6\cdot 64 \times 10^{-27}\text{ kg}]