An electron has a kinetic energy of 12.6 eV. The electron is incident upon a rectangular barrier of height 18.5 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 has a kinetic energy of 12.6 eV. The electron is incident upon a rectangular barrier of height 18.5 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?

Related questions

Q: A series of experiments by Clinton Davisson and Lester Germer in the 1920s gave a clear indication…

A: The expression for de Broglie wavelength (λ) is given as: λ=hp ...... (1) Here h is the plank’s…

Q: A series of experiments by Clinton Davisson and Lester Germer in the 1920s gave a clear indication…

A: Davission and Germer calculated the wavelength for electron diffraction in crystals, just similar to…

Q: An electron is in a one-dimensional box. When the electron is in its ground state, the…

A: Energy of an electron in a one-dimensional box En=n2h28ma2 The wavelength of the photon required for…

Q: In the double-slit interference pattern for helium atoms, the kinetic energy of the beam of atoms…

A: As per de Broglie's hypothesis, all matter is capable of exhibiting wave like porperties. The…

Q: An electron has total energy 6.29 eV. The particle initially travels in a region with constant…

A: Given, Total energy = 6.29 eV Potential energy = 0.61 eV New constant potential energy of 4.03 eV…

Q: An electron is in a box of width 3.0 * 10-10 m. What are the de Broglie wavelength and the magnitude…

A: Given: The width of the box L = 3×10-10 m. The level for which momentum and de Broglie wavelength…

Q: 2. P2.4 Given a lum cubic cavity, with a medium refractive index n=1, a) show that the two lowest…

A: Given: L=1μm, μ=1 2.) The frequencies that exist in the cubic cavity are defined by : fn=nc2μLHere,…

Q: Compare the energy loss of a photon in the following situations. (a) One single Compton scattering…

Q: A proton and an electron are accelerated from rest through the same potential difference V. What is…

Q: (a) What is the wavelength of the electrons? (b) What is the momentum of the electrons? (c) What is…

A: a) The electron’s wavelength can be determined as, Here, D, f, ꞵ, and λ represent the screen’s…

Q: If an electron is accelerated from rest through a potential difference of 100 V, what is its de…

Q: A principle of resolution of objects is that the position can only be determined to an accuracy…

Q: (a) A nonrelativistic free particle with mass m has kinetic energy K. Derive an expression for the…

A: (A) We know that KE of the particle is given by K=12mV2=P22m Further solving P=2mK⋯⋯1 The de Broglie…

Q: In an earlier version of the double-slit experiment, scientists used helium atoms (from a reservior…

A: Given wavelength of excited helium atoms ( λ) = 0.56 A

Q: An electron is trapped in an infinite well of width 0,12 nm. What are the three longest wavelengths…

A: The width of the infinite wall is given as, L = 0.12 nm (or) L = 0.12×10-9 m TO DETERMINE: The three…

Q: As in the last problem, electrons are accelerated through a potential difference of 36.9 V and then…

A: Given, Double slit diffraction and pattern on the screen

Q: Using the Broglie"s relationship, the velocity of an electron with a (mass e = 9.11×10-31 kg) having…

Q: Electrons with an energy of 0.610 eV are incident on a double slit in which the two slits are…

A: Double slit experiment based numerical.

Q: (a) What is the de Broglie wavelength (in m) of an electron moving at a speed of 3.03 x 10* m/s? (b)…

A: Given:- for (a) speed of electron (V) = 3.03 *104 m/s planck's constant (h) = 6.6…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Calculate the velocities of electrons with de Broglie wavelengths of 1.7×103 nm and 5.0 nm, respectively.
An electron is in a box of width 3.0 * 10-10 m. What are the de Broglie wavelength and the magnitude of the momentum of the electron if it is in the n = 1 level.
A series of experiments by Clinton Davisson and Lester Germer in the 1920s gave a clear indication of the wave nature of matter. The investigators scattered a relatively low energy electron beam from a nickel crystal. They found very strong reflections at certain angles that varied with the energy of the electron beam. The strong reflections were analogous to those observed in x-ray diffraction. The angles at which the intensity of the reflected beam peaks agreed with the Bragg condition if the electrons wereassumed to have a wavelength given by the de Broglie formula. This was conclusive experimental proof of the wave nature of the electron. Davisson and Germer used an electron beam that was directed perpendicular to the surface, as shown. They observed a particularly strong reflection, corresponding to m = 1 in the Bragg condition, at φ = 50°. At this angle, the spacing between the scattering planes was d = 0.091 nm. What is the de Broglie wavelength of electrons in the beam?A. 0.077…
Electrons with an energy of 0.842 eV are incident on a double slit in which the two slits are separated by 40.0 nm. What is the de Broglie wavelength (in nanometers!) of these electrons?
The velocity of an electron is known to be 1.000×105 m/s, with an uncertainty of Av = 1.00×102 m/s. (a) What is the minimum uncertainty in the electron's position, Av, in meters? (b) How does this compare to the de Broglie wavelength of the electron? (c) One of your professors (m = 75.0 kg) is pacing at the front of the classroom, and you measure their velocity to an uncertainty of Av = 0.100 m/s. What is the minimum uncertainty in a measurement of their position? (d) How does this compare to the height of your professor?
An electron is accelerated from rest through a potential difference so that its de Broglie wavelength is 0.020 nm. What is the potential difference?
A particle is in the n = 9 excited state of a quantum simple harmonic oscillator well. A photon with a frequency of 3.95 x 1015 Hz is emitted as the particle moves to the n = 7 excited state. What is the minimum photon frequency required for this particle to make a quantum jump from the ground state of this well to the n = 8 excited state? (Give your answer in Hz.)
In an electron microscope, we wish to study particles of a diameter of about 0.10μm (about 1000 times the size of a single atom). What should be the de Broglie wavelength of the electrons?