Question

Tunneling An electron of energy E = 2 eV is incident on a barrier of width L = 0.61 nm and height Vo-3 eV as shown in the figure below. (The figure is not drawn to scale.) 1) What is the probability that the electron will pass through the barrier? The transmission probability is 0 SubmitHelp 2) Lets understand the influence of the exponential dependence. If the barrier height were decreased to 2.8 eV (this corresponds to only a 20% decrease in the value of Vo-E), by what factor does the tunneling probability increase? T(Vo = 2.8 eV)/T(Vo-3 eV) = 1.96 Submit 3) If we increase the barrier width, the transmission probability will decrease. Assuming again Vo-3 eV as in part a), by how much would the width of the barrier have to increase for the transmission probability to decrease by a factor of 10? The increase in the width of the barrier is .159 nm SubmitHelp 4) What is the energy of electrons that have successfully tunneled to the right side of the barrier? 0 eV Submit Helpplz hlp

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Yavim ion -19 -31 -t2 KL eAf 2x2, 80 3.66 x 0

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