79. (a) The transmission coeﬃcientTfor a particle of massmand energyEthat is incident on a barrierof heightUand widthLis given byT=e−2kL,wherek=r8π2m(U−E)h2.For the proton,k=s8π2(1.6726×10−27kg)(10 MeV−3.0 MeV)(1.6022×10−13J/MeV)(6.6261×10−34J·s)2=5.8082×1014m−1,kL=(5.8082×1014m−1)(10×10−15m) = 5.8082, andT=e−2×5.8082=9.02×10−6.The value ofkwas computed to a greater number of signi±cant digits than usual because anexponential is quite sensitive to the value of the exponent. The mass of a deuteron is 2.0141 u =3.3454×10−27kg, sok=s8π2(3.3454×10−27kg)(10 MeV−3.0 MeV)(1.6022×10−13J/MeV)(6.6261×10−34J·s)2=8.2143×1014m−1,=(8.2143×1014m−1)(10×10−
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.