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5.) Tunneling Effect (14 pts.) In Rutherford scattering, a proton of kinetic energy 10 MeV undergoes a head-on collision with an uranium nucleus. Assume the nucleus to form a square electric potential barrier of height 13 MeV and width 10 fm. (a) Calculate the penetration depth of the proton (in fm). (b) Calculate the transmission coefficient for the proton to reach into the uranium nucleus (possibly inducing fission).5.) Tunneling Effect In Rutherford scattering, a proton of kinetic energy 10 MeV undergoes a head-on collision with an uranium nucleus. Assume the nucleus to form a square electric potential barrier of height 13 MeV and width 10 fm ( pis.) (a) Calculate the penetration depth of the proton (in fm). b) Calculate the transmission coefficient for the proton to reach into the uranium nucleus (possibly inducing fission).

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