Answered: U(r) Uo E 1.0 MeV 2.0 fm

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U(r) Uo E 1.0 MeV 2.0 fm

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Question

In a simple model for a radioactive nucleus, an alpha particle (m = 6.64 _* 10^-27 kg) is trapped by a square barrier that has width 2.0 fm and height 30.0 MeV.

(a) What is the tunneling probability when the alpha particle encounters the barrier if its kinetic energy is 1.0 MeV below the top of the barrier (Fig. )?

(b) What is the tunneling probability if the energy of the alpha particle is 10.0 MeV below the top of the barrier?

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