Physics, 19.03.2020 20:35 hipeopleitsme121
Assume that the wave approaches the barrier from the negative x direction. The coefficient B cannot be set equal to zero because Be^-I squareroot (2um E/h^2)x represents reflection from the barrier. However. G can be set equal to zero because there is no wave incident on the barrier from the positive x direction. a. The wave functions and their derivatives must be continues at x = 0 and x =
a. Show that the coefficients must satisfy the following conditions: A + B = C + D Ce^-ka + De^+ka = Fe^+ika A - B = - ik/k (-C + D) -C^-ka + De^ka = ik/k Fe^+ika b. Because the transmission probability is given by |IF/A|^2, it is useful to manipulate these equations to get a relationship between F and A. By adding and subtracting the first pair of equations. A and B can be expressed in terms of C and D. The second pair of equations can be combined in the same way to give equations for D and C in terms of F. Show that D = ik e^+ika + ke^ika/+ika/2k e^+ka C = - I k e^+ika + k e^+ika/2k e^ka F, and A = (ik - k)C + (ik + k)D/2ik
c. Substitute these results for C and Din terms of F in to A = (ik - k)C + (ik + k)D/2ik to relate A and F. Show that 2iKA = e^+ika/2x [(ik - k) (- ik + k)_e^+ka +(ik + k) (ik + k)_e^-ka]F
d. Using the hyperbolic trigonometric functions sinh x = e^x - e^-x/2 and cosh x = e^x + e^-x/2 and the relationship cosh^2 x - sinh^2 x = 1, show that |F/A|^2 = 16(kK)^2/16(kK)^2 + (4(k^2 - k^2)^2 + 16 (kK)^2) sinh^2 (ka) = 1/1 + [(k^2 + k^2 sinh^2(ka)]/4 (kk)^2
e. Plot the transmission probability for an electron as a function of energy for V_0 = 1.6 times 10^-19 J and a = 9.0 times 10^-10 m up to an energy of 8 times 10^19 J. At what energy is the tunneling probability 0.1? At what energy is the tunneling probability 0.02? f. Plot the transmission probability for an electron of energy 0.50 times 10^-19 J as a function of the barrier width for v_0 = 1.6 times 10^-19 J between 2 times 10^-10 and 8 times 10^-10 m. At what barrier width is the transmission probability 0.2?
Answers: 3
Physics, 22.06.2019 02:30
Mass (kg) force (n) 5 25 10 50 15 75 20 100 a student was trying to find the relationship between mass and force. he placed four different masses on a table and pulled them using a spring scale. the table shows the different masses used in the experiment and the force required to pull each mass. the student concluded that more force was required to pull heavier objects. what comment would you make regarding his conclusion? a) no clear relation can be observed between mass and force from the data. b) there is a direct proportion between the mass and force listed in the table. c) gravity should have been taken into account while performing the experiment. d) there is an inverse proportion between the mass and force listed in the table.
Answers: 2
Physics, 22.06.2019 04:00
However, had it been a real sound, the sound's pitch would have been increased by the doppler effect, since the falcon was moving the source of the sound. perpendicular to away from towards at the same speed as
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Physics, 22.06.2019 18:30
Adolphin emits ultrasound at 100khz and uses the timing of reflections to determine the position of objects in the water. part a what is the wavelength of this ultrasound? assume that temperature of water is 20 degrees c. answer in cm
Answers: 2
Assume that the wave approaches the barrier from the negative x direction. The coefficient B cannot...
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