A proton with initial kinetic energy 50.0 eV encounters a barrier of height 70.0 eV. What...

A proton with initial kinetic energy 50.0 eV encounters a barrier of height 70.0 eV. What is the width of the barrier if the probability of tunneling is How does this compare with the barrier width for an electron with the same energy tunneling through a barrier of the same height with the same probability ?

Expert Solution

genius_generous answered 2 years ago

a) An electron with 10.0 eV kinetic energy hits a 10.1 eV potential energy barrier. Calculate...

a) An electron with 10.0 eV kinetic energy hits a 10.1 eV potential energy barrier. Calculate the penetration depth. b) A 10.0 eV proton encountering a 10.1 eV potential energy barrier has a much smaller penetration depth than the value calculated in (a). Why? c) Give the classical penetration depth for a 10.0 eV particle hitting a 10.1 eV barrier.

An electron approaches a 1.30 nm wide potential-energy barrier of height 5.60 eV

An electron approaches a 1.30 nm wide potential-energy barrier of height 5.60 eV. At what energy does the electron have a tunneling probability of10%?

What magnetic field is required to constrain an electron with a kinetic energy of 404 eV...

What magnetic field is required to constrain an electron with a kinetic energy of 404 eV to a circular path of radius 0.777 m?

Barium has a work function of 2.48 eV. What is the maximum kinetic energy of electrons...

Barium has a work function of 2.48 eV. What is the maximum kinetic energy of electrons if the metal is illuminated by UV light of wavelength 420 nm? eV What is their speed? m/s

1. What is the momentum (p) of a 960-MeV proton (that is, its kinetic energy is...

1. What is the momentum (p) of a 960-MeV proton (that is, its kinetic energy is 960 MeVMeV )? Express your answer with the appropriate units. 2. An electron (mmm = 9.11×10−31 kg ) is accelerated from rest to speed vv by a conservative force. In this process, its potential energy decreases by 6.70×10−14 JJ . Determine the electron's speed, v. (in term of c.)

The maximum kinetic energy of photoelectrons is 2.80 eV . When the wavelength of the light...

The maximum kinetic energy of photoelectrons is 2.80 eV . When the wavelength of the light is increased by 50%, the maximum energy decreases to 1.30 eV . What is the work function of the cathode? What is the initial wavelength?

In an experiment electrons are released with a kinetic energy of 2.8 eV. The amazing physicists...

In an experiment electrons are released with a kinetic energy of 2.8 eV. The amazing physicists doing the experiments are increasing the wavelength by 50%. Do you remember what happens? Are the photoelectrons faster or slower? The energy now is 0.44 eV. A) Based on that information, what is the material of the cathode? (calculate the work function and compare to table 28.1 in our textbook). B) What is the initial wavelength of the light? C) When you go a...

Calculate the speed (in m/s) of an electron and a proton with a kinetic energy of...

Calculate the speed (in m/s) of an electron and a proton with a kinetic energy of 1.70 electron volt (eV). (The electron and proton masses are me = 9.11 ✕ 10−31 kg and mp = 1.67 ✕ 10−27 kg. Boltzmann's constant is kB = 1.38 ✕ 10−23 J/K.) (a) an electron m/s (b) a proton m/s (c) Calculate the average translational kinetic energy in eV of a 3.15 ✕ 102 K ideal gas particle. (Recall from Topic 10 that 1...

a.A free (i.e. unbound) electron has a kinetic energy of 7.5 eV. What is the angular...

a.A free (i.e. unbound) electron has a kinetic energy of 7.5 eV. What is the angular wavenumber of the travelling wave that describes the solution to Schr ̈odinger’s equation for this particle? b.A particle of mass 6.64 × 10-27 kg is confined in an infinite square well of width 2.50 × 10-11 m. It is observed to have an energy of 3.00 eV. How many nodes does its wavefunction have? (Not including those at the walls of the well.) c.What...

Find the momentum and speed of a proton whose kinetic energy equals its rest energy.

Question