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 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.
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...
A 15 MeV a particle (mass 3730 MeV/c^2) is approaching a heavy nucleus head on. Approximate...
A 15 MeV a particle (mass 3730 MeV/c^2) is approaching a heavy nucleus head on. Approximate the Coulomb repulsion between the a and the nucleus by the square barrier of height 20 MeV and width 10 fm. What is the probability the a particle tunnels into the nucleus? A. 7e-12 B. .016 C. 9e-9 D. 16e-4
A proton and a deuteron (which has the same charge as the proton but 2.0 times...
A proton and a deuteron (which has the same charge as the proton but 2.0 times the mass) are incident on a barrier of thickness 10.5 fm and “height” 11.1 MeV. Each particle has a kinetic energy of 2.80 MeV. a.) Which particle has the higher probability of tunneling through the barrier?    a. Photon    b. none of them will pass through the   barrier    c. both have same probability b. What is the ratio of the tunneling probability...
A box with an open top has a square base and four sides of equal height....
A box with an open top has a square base and four sides of equal height. The volume of the box is 225 ft cubed. The height is 4 ft greater than both the length and the width. If the surface area is 205 ft squared. what are the dimensions of the​ box? What is the width of the box?. What is the length of the box?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT