Question

A beam of 1,000,000 electrons, each with kinetic energy E = 1.0 eV, is incident on...

A beam of 1,000,000 electrons, each with kinetic energy E = 1.0 eV, is incident on a potential barrier with the height V0 = 7.0 eV. (a) How many electrons in the beam will be transmitted through the barrier if the barrier width a = 0.25 nm? (b) Answer the same question if the width is doubled, that is, a = 0.5 nm. (c) Briefly explain the effect of the barrier width in quantum tunneling, based on your results in (a) and (b). You may find the following relation is helpful: ħc = 197.33 eV·nm.

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
a beam of electrons with kinetic energy 106 eV is incident on a 100 eV deep...
a beam of electrons with kinetic energy 106 eV is incident on a 100 eV deep potential well of width L. Is there any value of L that will lead to a 50% reflection ?
A beam of electrons with kinetic energy 25 eV encounter a potential barrier of height 20...
A beam of electrons with kinetic energy 25 eV encounter a potential barrier of height 20 eV. Some electrons reflect from the barrier, and some are transmitted. Find the wave number k of the transmitted electrons. You can take U = 0 for x < 0, and U = 15 eV for 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?
Suppose a beam of 4.00 eV protons strikes a potential energy barrier of height 6.20 eV...
Suppose a beam of 4.00 eV protons strikes a potential energy barrier of height 6.20 eV and thickness 0.560 nm, at a rate equivalent to a current of 1150 A. (a) How many years would you have to wait (on average) for one proton to be transmitted through the barrier? (b) How long would you have to wait if the beam consisted of electrons rather than protons?
Suppose a beam of 5.10 eV protons strikes a potential energy barrier of height 5.80 eV...
Suppose a beam of 5.10 eV protons strikes a potential energy barrier of height 5.80 eV and thickness 0.810 nm, at a rate equivalent to a current of 980 A. (a) How many years would you have to wait (on average) for one proton to be transmitted through the barrier? (b) How long would you have to wait if the beam consisted of electrons rather than protons?
Suppose a beam of 4.60 eV protons strikes a potential energy barrier of height 6.10 eV...
Suppose a beam of 4.60 eV protons strikes a potential energy barrier of height 6.10 eV and thickness 0.530 nm, at a rate equivalent to a current of 1190 A. (a) How many years would you have to wait (on average) for one proton to be transmitted through the barrier? (b) How long would you have to wait if the beam consisted of electrons rather than protons?
Suppose a beam of 5.10 eV protons strikes a potential energy barrier of height 6.00 eV...
Suppose a beam of 5.10 eV protons strikes a potential energy barrier of height 6.00 eV and thickness 0.840 nm, at a rate equivalent to a current of 860 A. (a) How many years would you have to wait (on average) for one proton to be transmitted through the barrier? (b) How long would you have to wait if the beam consisted of electrons rather than protons?
An electron beam with energy 0.1 eV is incident on a potential barrier with energy 10...
An electron beam with energy 0.1 eV is incident on a potential barrier with energy 10 eV and width 20 ˚A. Choose the variant that you think best describes the probability of finding an electron on the other side of the barrier: a) 0; b) <10%; c) 100% d) 200%.
A beam of electrons, each with energy E=0.1V0 , is incident on a potential step with...
A beam of electrons, each with energy E=0.1V0 , is incident on a potential step with V0 = 2 eV. This is of the order of magnitude of the work function for electrons at the surface of metals. Calculate and graph (at least 5 points) the relative probability |Ψ2|^2 of particles penetrating the step up to a distance x = 10-9 m, or roughly five atomic diameters. (Hint: assume A=1.)
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT