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4. In the figure below, the scattering states for a particle incident from the right are found to...
Consider a finite square barrier potential shown below. Figure A. For a<x<b, the space part of...
Consider a finite square barrier potential shown below. Figure A. For a<x<b, the space part of the electron wave function has the form: k? = 2mE/h? and gu2m(V,-E)/h2 (a) Aeikx (b) Aegn (c) Ae*** + Be** (d) Ae* (e) Aelkx + Be-ika For the finite square barrier potential shown below, Figure A. For x<a, the space part of the electron wave function has the form: k = 2mE/h? and g=2m(Vo-E) /h (a) Aeikx (b) Aetex (c) Ae*EN + Bet* (d)...
Scattering #1 Consider the "downstep" potential shown. A particle of mass m and energy E, inciden...
Scattering #1 Consider the "downstep" potential shown. A particle of mass m and energy E, incident from the left, strikes a potential energy drop-off of depth Vo 0 (2 pts) Using classical physics, consider a particle incident with speed vo. Use conservation of energy to find the speed on the right vf. ALSO, what is the probability that a given particle will "transmit" from the left side to the right side (again, classically)? A. B. (4 pts) This problem is...
Consider a particle incident from the left on the potential step. Where E = 2 eV...
Consider a particle incident from the left on the potential step. Where E = 2 eV V(x) {5 eV lo x < 0 x > 0 1) Find the wave function of the particle in two regions 2) Find reflection and transmission coefficients R and T
5. Consider a square potential barrier in figure below: V(x) 0 x <0 a) Assume that...
5. Consider a square potential barrier in figure below: V(x) 0 x <0 a) Assume that incident particles of energy E> v are coming from-X. Find the stationary states (the equations for region . 2 and 3 and the main equation for the all regions). Apply the matching limit conditions in the figure. Explain and find all the constants used in the equations in terms of the parameters provided and Planck's constant -(6) Find the transmission and reflection coefficients. -(4)
4. Consider the potential step shown below with a beam of particles incident from the left....
4. Consider the potential step shown below with a beam of particles incident from the left. V(x) a) Calculate the reflection coefficient for the case where the energy of the incident particies is less than the height of tihe step b) Calculate the reflection cocf ficient for the case where the encrgy of the incident particies is greater than the height of the step.
1) The probability density function of the diameter (in micrometers) of a particular type of contaminant...
1) The probability density function of the diameter (in micrometers) of a particular type of contaminant particle can be modeled by f(x) = (x3 Exp(-x/2)]/96, x 20 a) Plot the pdf and the CDF of these diameters b) Compute E(Diameter) y Var(Diameter) c) Compute Pr(Diameter > 4), Pr(Diameter > 8), and Pr(Diameter > 12), d) Assume that the following random sample of 100 diameters of these particles has been taken. What is the probability that sample average if greater than...
The farce acting on a particle varies as shown in the figure below. F, (N) 2610...
The farce acting on a particle varies as shown in the figure below. F, (N) 2610 -2 (a) Find the work done by the force on the particle as it moves from x-um tax- m. (b) Find the work done by the force on the particle as it moves from x-m ax = 12 m. (e) Find the work done by the force on the partide as it moves from x omtex - 12 m. Need Help? Read The Tutel
1. The figure to the right shows a particle undergoing simple harmonic motion described by x(t)=...
1. The figure to the right shows a particle undergoing simple harmonic motion described by x(t)= A cos(at +o). Notice that x(0) = A/2. What is the phase constant? 2. The figure to the right shows a snapshot of circular waves emitted by two in- phase sources. The point marked by the dot (directly in between two wave fronts emitted from source I at the time shown) is a point of: A. Maximum constructive interference. B. Maximum destructive interference. C. Partially constructive interference. D. Partially...
2. 11pt The four wave pulses on the left in the figure below are travelling along...
2. 11pt The four wave pulses on the left in the figure below are travelling along stretched ropes toward an end that is either fixed or free. For each incident pulse, select the correct reflection from the options shown on the right. For example, if the reflected pulse for the first pulse is C and for the other three pulses, B, then enter CBBB.) You only have 4 tries A. OFree OFree i) B. i) C. Fixed Fixed iv)
(15 points) Encounter with a semi-infinite potential "well" In this problem we will investigate one situation involving a a semi-infinite one-dimensional po- tential well (Figure 1) U=0 regio...
(15 points) Encounter with a semi-infinite potential "well" In this problem we will investigate one situation involving a a semi-infinite one-dimensional po- tential well (Figure 1) U=0 region 1 region 2 region 3 Figure 1: Semi-infinite potential for Problem 3 This potential is piecewise defined as follows where Uo is some positive value of energy. The three intervals in x have been labeled region 1,2 and 3 in Figure 1 Consider a particle of mass m f 0 moving in...
Consider a finite square barrier potential shown below. Figure A. For a<x<b, the space part of the electron wave function has the form: k? = 2mE/h? and gu2m(V,-E)/h2 (a) Aeikx (b) Aegn (c) Ae*** + Be** (d) Ae* (e) Aelkx + Be-ika For the finite square barrier potential shown below, Figure A. For x<a, the space part of the electron wave function has the form: k = 2mE/h? and g=2m(Vo-E) /h (a) Aeikx (b) Aetex (c) Ae*EN + Bet* (d)...
Scattering #1 Consider the "downstep" potential shown. A particle of mass m and energy E, incident from the left, strikes a potential energy drop-off of depth Vo 0 (2 pts) Using classical physics, consider a particle incident with speed vo. Use conservation of energy to find the speed on the right vf. ALSO, what is the probability that a given particle will "transmit" from the left side to the right side (again, classically)? A. B. (4 pts) This problem is...
Consider a particle incident from the left on the potential step. Where E = 2 eV V(x) {5 eV lo x < 0 x > 0 1) Find the wave function of the particle in two regions 2) Find reflection and transmission coefficients R and T
5. Consider a square potential barrier in figure below: V(x) 0 x <0 a) Assume that incident particles of energy E> v are coming from-X. Find the stationary states (the equations for region . 2 and 3 and the main equation for the all regions). Apply the matching limit conditions in the figure. Explain and find all the constants used in the equations in terms of the parameters provided and Planck's constant -(6) Find the transmission and reflection coefficients. -(4)
4. Consider the potential step shown below with a beam of particles incident from the left. V(x) a) Calculate the reflection coefficient for the case where the energy of the incident particies is less than the height of tihe step b) Calculate the reflection cocf ficient for the case where the encrgy of the incident particies is greater than the height of the step.
1) The probability density function of the diameter (in micrometers) of a particular type of contaminant particle can be modeled by f(x) = (x3 Exp(-x/2)]/96, x 20 a) Plot the pdf and the CDF of these diameters b) Compute E(Diameter) y Var(Diameter) c) Compute Pr(Diameter > 4), Pr(Diameter > 8), and Pr(Diameter > 12), d) Assume that the following random sample of 100 diameters of these particles has been taken. What is the probability that sample average if greater than...
The farce acting on a particle varies as shown in the figure below. F, (N) 2610 -2 (a) Find the work done by the force on the particle as it moves from x-um tax- m. (b) Find the work done by the force on the particle as it moves from x-m ax = 12 m. (e) Find the work done by the force on the partide as it moves from x omtex - 12 m. Need Help? Read The Tutel
2. 11pt The four wave pulses on the left in the figure below are travelling along stretched ropes toward an end that is either fixed or free. For each incident pulse, select the correct reflection from the options shown on the right. For example, if the reflected pulse for the first pulse is C and for the other three pulses, B, then enter CBBB.) You only have 4 tries A. OFree OFree i) B. i) C. Fixed Fixed iv)
(15 points) Encounter with a semi-infinite potential "well" In this problem we will investigate one situation involving a a semi-infinite one-dimensional po- tential well (Figure 1) U=0 region 1 region 2 region 3 Figure 1: Semi-infinite potential for Problem 3 This potential is piecewise defined as follows where Uo is some positive value of energy. The three intervals in x have been labeled region 1,2 and 3 in Figure 1 Consider a particle of mass m f 0 moving in...
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