Question

A particle is incident upon a square barrier of height U and width L and has...

A particle is incident upon a square barrier of height U and width L and has E = U. What is the probability of transmission? You must show all work.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A square barrier of height Vo = 5.0 eV and width of a = 1.0nm has...
A square barrier of height Vo = 5.0 eV and width of a = 1.0nm has a beam of electrons incident on it having kinetic energy E = 4.0 eV. The wave function for x less than or equal to 0 can be written, Psi1 = Aeik1x + Be-ik1x and for the region inside the barrier, the wave function can be written Psi2 = Cek2x + Dek2x. Determine the equations describing the continuity conditions at x=0.
An electron has a kinetic energy of 13.4 eV. The electron is incident upon a rectangular...
An electron has a kinetic energy of 13.4 eV. The electron is incident upon a rectangular barrier of height 19.6 eV and width 1.00 nm. If the electron absorbed all the energy of a photon of green light (with wavelength 546 nm) at the instant it reached the barrier, by what factor would the electron's probability of tunneling through the barrier increase?
An electron having total energy E = 3.40 eV approaches a rectangular energy barrier with U...
An electron having total energy E = 3.40 eV approaches a rectangular energy barrier with U = 4.10 eV and L = 950 pm as shown in the figure below. Classically, the electron cannot pass through the barrier because E < U. Quantum-mechanically, however, the probability of tunneling is not zero. (a) Calculate this probability, which is the transmission coefficient. (Use 9.11  10-31 kg for the mass of an electron, 1.055  10-34 J · s for ℏ, and note that there are...
1.Consider a particle in a square potential barrier with E = 0.750 Vo and another particle...
1.Consider a particle in a square potential barrier with E = 0.750 Vo and another particle with E = 0.250 Vo. Vo is the height of the barrier. Which of these two particle is more likely to experience tunneling?   2.Estimate the velocity and kinetic energy of neutrons needed to study the atomic structure of a material if their wavelength is of the order of 2 Å.
1. A beam of protons of energy 3.75 MeV is incident on a barrier of height...
1. A beam of protons of energy 3.75 MeV is incident on a barrier of height 18.00 MeV and thickness 1.65 fm (1.65 x 10^ -15 m). (a) What is the probability of the protons tunneling through the barrier? (b) By what factor does the probability change if the barrier thickness is doubled ?
Consider a finite potential barrier of height U_0 = 3eV between 0<x<L where L=2nm. The energy...
Consider a finite potential barrier of height U_0 = 3eV between 0<x<L where L=2nm. The energy of an electron incident on this barrier is E=2eV. A) What is the general form of the wavefunction Ψ (x) in the barrier region? Compute numerical values for constants when possible. B) Sketch the wavefunction of the electron before, inside, and after the barrier.
A particle is confined to the one-dimensional infinite potential well of width L. If the particle...
A particle is confined to the one-dimensional infinite potential well of width L. If the particle is in the n=2 state, what is its probability of detection between a) x=0, and x=L/4; b) x=L/4, and x=3L/4; c) x=3L/4, and x=L? Hint: You can double check your answer if you calculate the total probability of the particle being trapped in the well. Please answer as soon as possible.
consider a square well if infinite sides of width L: a) Calculate the energy and wavelength...
consider a square well if infinite sides of width L: a) Calculate the energy and wavelength of a photon emitted when a transition between the n=5 and ground state is made. b) Write down the expression for the probability that a particle in the nth state will be found in the first 1/3 of a well of width
1 - Write the one dimensional, time-independent Schrödinger Wave Equation (SWE). Using the appropriate potential energy...
1 - Write the one dimensional, time-independent Schrödinger Wave Equation (SWE). Using the appropriate potential energy functions for the following systems, write the complete time independent SWE for: (a) a particle confined to a one-dimensional infinite square well, (b) a one-dimensional harmonic oscillator, (c) a particle incident on a step potential, and (d) a particle incident on a barrier potential of finite width. 2 - Find the normalized wavefunctions and energies for the systems in 1(a). Use these wavefunctions to...
Consider a particle mass M in an infinite square well of width (W) with the initial...
Consider a particle mass M in an infinite square well of width (W) with the initial state: |?〉=?(|?)〉+7?|?-〉) What are the possible results of an energy measurement and the probability of each?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT