1. The uncertainty principle can be used to get a qualitative estimate of certain quantities in nuclear physics. A typical nucleus has a radius of a few times 10]5 m . You model an or decay as occurring from a preformed tr particle conned in the nucleus. Estimate the kinetic energy of the alpha particle. Hint: Approximate the uncertainty in the (r particle's position as Ax E 10"5 m. Then make approxima- tion ArAp & 4; Finally approximate the momentum of the of particle as p E Ap