1. Consider an electron initially moving in the positive x-direction along the negative x-axis with an energy E. At the origin the potential energy U (x) changes abruptly, from U(x) = 0 for x < 0, to U(x) = 1.00 eV for x > 0. If E=1.02 eV, just higher than the barrier by 2%, what is the barrier penetration length? What is the reflectance? What is the transmittance?
2. Consider an electron initially moving in the positive x-direction along the negative x-axis with an energy of 1.0 eV. At the origin the electron encounters a square barrier; the potential energy U(x) changes abruptly, from U (x) for x < 0, to U(x) = V for 0 < x < a, and back to U(x) = 0 for x > a, where the barrier width = 1.0 nm . Use the computer to make a graph of the reflectance as a function of V in electron volts. For what values of V is the electron reflected with a 5% probability?
1. Consider an electron initially moving in the positive x-direction along the negative x-axis wi...
Imagine a proton moving at 2.1 x 10m/s in the positive direction of the x-axis. It moves in a field-free space until it passes by the origin, x = 0, where it encounters an electric field directed along the x-axis. (The y and z components of the field are zero everywhere). The electric potential, V(x), associated with this field is shown in the graph below. 200 Hlectrical (V) 100 50 0 0 10 20 30 40 50 60 70 Position...
A free electron moving in the positive x-direction encountering a potential energy barrier in the region x 0 is described by W(x) Aexp(-i2ax/A1) Bexp(-12x/A1) x< 0 (zone I) WI(X) Cexp(i27ox/A) x 20 (zone II) with A 0.80 m-1/2, B 0.20 m-1/2 and C 1.00 m-12. a) Show that the wave function is continaous at x 0. b) Is the electron showing barrier-penetration behavior? Or barrier-transmission behavior? Justify your answer. c) Calculate the probability the electron is reflected at x 0.
Electron An electron moving in the positive x direction experiences a magnetic force in the negative z direction. if Bx = 0, what is the direction of the magnetic field? (electron: m = 9.11 x 10-31 kg, q = -1.6 x 10-19C) negative y direction O positive y direction o negative z direction positive z direction negative x direction
Ball B, moving in the positive direction of an x axis at speed v, collides with stationary ball A at the origin. A and B have different masses. After the collision, B moves in the negative direction of the y axis at speed v/5. In what direction does A move, as an angle with respect to the x axis?
Consider an electron moving along the positive x-axis in empty space (V(x) = 0), described by the wave function ?(?) = sin(??) − ?cos(??) Show that the following wave function is a solution to the Schrödinger Equation. (− ℏ^2/2? ?^2/??2 + ?(?)) ?(?) = ??(?)
Score: E-peild Imagine a proton moving initially at 2.1x 10 m/s in the positive direction of the x-axis. It moves in a field-free space until it passes by the origin, x-0, where it encounters an electric field directed along the x-axis. (The y and z components of the field are zero everywhere.) The electric potential, vto), associated with this field is shown i the left graph for 0x70 cm. 250 200 E 150 100 8 50 0 10 20 30...
5. (a) Assume that an electron is moving along an x-axis with a speed of u = 3.080 x 10-m/s measured to a precision of 0.6%. What is the minimum uncertainty (as allowed by the uncertainty principle in quantum theory) with which you can simultaneously mea- sure the position of the electron along the c-axis? Note that the electron mass is m = 9.110 x 10-31 kg. (b) The speed of a bullet is known to a precision of 0.43%....
A 50.0 kg body is moving in the direction of the positive x axis with a speed of 384 m/s when, owing to an internal explosion, it breaks into three pieces. One part, whose mass is 9.0 kg, moves away from the point of explosion with a speed of 353 m/s along the positive y axis. A second fragment, whose mass is 5.0 kg, moves away from the point of explosion with a speed of 313 m/s along the negative...
1. Ball B, moving in the positive direction of an x axis at speed v, collides with stationary ball A at the origin. Ball A and B have different masses. After the collision, B moves at an angle of +30° with respect to the x axis with half its initial speed. (a) In what direction does A move as an angle with respect to the x axis? (b) If the collision is elastic, what is the ratio of the masses...
An electron moving along the x axis has a position given by x = 10te^minus3t m, where t is in seconds. How far is the electron from the origin when it momentarily stops? m A car traveling 56.0 km/h is 20.0 m from a barrier when the driver slams on the brakes. The car hits the barrier 2.39 s later. What is the magnitude of the car's constant acceleration before impact? m/s^2 How fast is the car traveling at impact?...