As an intern at a research lab, you study the transmission

Chapter 40, Problem 40.62

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As an intern at a research lab, you study the transmission of electrons through a potential barrier. You know the height of the barrier, 8.0 eV, but must measure the width L of the barrier. When you measure the tunneling probability T as a function of the energy E of the electron, you get the results shown in the table. E 1eV2 4.0 5.0 6.0 7.0 7.6 T 2.4 * 10-6 1.5 * 10-5 1.2 * 10-4 1.3 * 10-3 8.1 * 10-3 (a) For each value of E, calculate the quantities G and k that appear in Eq. (40.42). Graph ln 1T>G2 versus k. Explain why your data points, when plotted this way, fall close to a straight line. (b) Use the slope of the best-fit straight line to the data in part (a) to calculate L