An electron with a kinetic energy of 47.34 eV is incident on a square barrier with Ub = 56.43 eV and w = 2.000 nm. What is the probability that the electron tunnels through the barrier? (Use 6.626 ✕ 10−34 J · s for h, 9.109 ✕ 10−31 kg for the mass of an electron, and 1.60 ✕ 10−19 C for the charge of an electron.)
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An electron with a kinetic energy of 47.34 eV is incident on a square barrier with...
0.91 nm 2.7 nm D | Question 25 4 pts A 2.0 eV electron is incident on a o.20-nm barrier that is 5.67 eV high. What is the probability that this electron will tunnel through the barrier? (1 ev 1.60 10-19 J, m 9.11 10-31 kg. h- 1.055 x 1034 J s, h 6.626 x 1034 j .s) 2.0 x 10-2 1.5 x 10-3 9.0 10-4 1.2 10-3 1.0 x 10-3
0.91 nm 2.7 nm D | Question 25 4...
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A 3.50-eV electron is incident on a 0.40-nm barrier that is 5.67 eV high. What is the probability that this electron will tunnel through the barrier? (1 ev 1.60 x 10-19 J, m el 9.11 x 103 kg, h-1.055 x 1034 J,h 6626x 10-34J s) 1.5 x 10-3 9.0 x 10-4 1.2 x 10-3 1.0 x 10-3 2.4 x 10-3 MacBook Pro
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A 10 eV electron (an electron with a kinetic energy of 10 eV) is incident on a potential-energy barrier that has a height equal to 13 eV and a width equal to 1.0 nm. T = e^-2alpha a alpha > > 1 Use the above equation (35-29) to calculate the order of magnitude of the probability that the electron will tunnel through the barrier. 10 _________ Repeat your calculation for a width of 0.10 nm. 10 _________
2. An electron with energy E= 1 eV is incident upon a rectangular barrier of potential energy Vo = 2 eV. About how wide must the barrier be so that the transmission probability is 10-37 Electron mass is m=9.1 x 10-31 kg. (Hint: note the word "about". A quick sensible approximation is accepted for full credit. The exact calculation is feasible in an exam, but long and perilous - avoid at all costs.]
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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...
The energy of a proton is 1.0 MeV below the top of a 1.2-MeV-high energy barrier that is 6.8 fm wide. What is the probability that the proton will tunnel through the barrier? (1 eV = 1.60 x 10-19 J, Mproton = 1.67 x 10-27 kg, -h = 1.055 x 10-34 J·s, h = 6.626 x 10-34). s) 1) 11% O2) 9.1% O 3) 14% 4) 7.5%
An electron is in an infinite square well (a box) that is 8.9 nm wide. What is the ground state energy of the electron? (h = 6.626 x 10^-34J s, m_el = 9.11 x 10^-31 kg, 1 eV = 1.60 x 10^-19)
Consider an electron with energy E in region I confined by a barrier with potential energy Vo and width W. Plot the probability that the electron “tunnels” through the barrier and ends up in Region III as a function of the barrier width for Vo = 1 eV and E = 0.1, 0.25, 0.5, 0.75 and 0.9 eV. Also show the code for the plots.
A certain moving electron has a kinetic energy of 1.01 × 10−19 J. A. ) Calculate the speed necessary for the electron to have this energy. The mass of an electron is 9.109 × 10−31 kg. Answer in units of m/s. B.) Calculate the speed of a proton having a kinetic energy of 1.01 × 10−19 J and a mass of 1.673 × 10−27 kg. Answer in units of m/s.
4. An electron having total energy E 4.50 eV approaches a rectangular Energy energy barrier with U= 5.00 eV and L = 950 pm as shown. Classically, the electron cannot pass through the barrier because E < U. However, quantum mechanically the probability of tunneling is not zero. a) Calculate this probability, which is the transmission coefficient. b) By how much would the width L of the potential barrier have to change for the chance of an incident 4.50-eV electron...