Uranium-238 decays by emitting an alpha particle (same as a helium nucleus). U23

Question

Uranium-238 decays by emitting an alpha particle (same as a helium nucleus). U238 rightarrow Th234 + alpha The outgoing alpha particle carries 4.2 MeV of kinetic energy. The U238 nucleus has a radius So you can think of the alpha particle as moving in a potential Find the thickness of the barrier a. Find the maximum height of the barrier V(R). Give your answer in MeV. Just to keep things simple, suppose we approximate this by the potential in problem 2, with R = 9 Times 10-15 m alpha = 5 Times 10-14 m V0 = 8.4 MeV Predict the half-life of uranium. How did you do compared to the measured value t1/2 = 4.5 billion years?

Explanation / Answer

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