An electron beam having energy 2 eV incidents on a potential barrier having width 20x10 10 m and height 4 eV. Calculate the transmission probability for the electron. (a) 9.98x1013 (b) 9.98x1013 (c) 0 (d) 9.98x109 Answer A Submit O OO O

An electron beam having energy 2 eV incidents on a potential barrier having width 20x10 10 m and height 4 eV. Calculate the transmission probability for the electron. (a) 9.98x1013 (b) 9.98x1013 (c) 0 (d) 9.98x109 Answer A Submit O OO O

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter7: Quantum Mechanics

Section: Chapter Questions

Problem 87AP: An electron with kinetic energy 2.0 MeV encounters a potential energy barrier of height 16.0 MeV and...

See similar textbooks

Related questions

Q: Consider an electron of energy 1 eV that encounters a potential barrier of width 0.1nm and energy…

Q: If the electron is positioned in the region of width 10-12 m then calculate the time constant of the…

A: Given values: Width of the region, ∆x=10-12 m Plank's constant, h=6.626×10-34 J·s Mass of electron,…

Q: If the particle in the box is in the second excited state (i.e., n=3), what is the probability P…

Q: The wave function for an electron in an infinite potential well is given as follows; TX sin L 4,(x)…

Q: A particle moving in one dimension has the wave function Y(x, t) = Aeli(ax-bt)] %3D where a and b…

Q: If p=-iħ d/dx is the linear momentum operator. What is its eigenvalue if it is affected on a…

A: if any operator operates on wave function, than the result should be some constant multiplied by…

Q: If the electron is positioned in the region of width 10-12 m then calculate the time constant of the…

A: Given: The width of the region is 1x10-12 m.

Q: Is the ground-state energy of a proton trapped in a onedimensional infinite potential well greater…

A: The ground-state energy of a proton trapped in a one dimensional infinite potential well is equal to…

Q: Show that ? (x,t) = A exp [i (kx - ?t] is a solution to the time-dependent Schroedinger equation for…

Q: Find the probability of the state |0) and |1) |) = (1 – 2i) |0) + 3i |1 .

A: Let us first normalize the given wave function. Let |ψ> denote the normalized wave function of…

Q: What is the ground-state energy of (a) an electron and (b) a proton if each is trapped in a…

Q: Determine the probability of finding a quantum particle (restricted to a one-dimensional box of…

Q: The ground-state energy of an electron trapped in a onedimensional infinite potential well is 2.6…

Q: A particle is trapped in an infinite one-dimensional well of width L. If the particle is in its…

Q: Calculate the threshold wave length for tungsten surface whose work function is 4.5 eV?

A: Given, Work function for the tungsten, E = 4.5 eV

Q: J. particle in an infinite potential well ait to Ax Given the wwave fonction of a L Ala-x) a/2 E x…

Q: The eigenfunctions satisfy the condition | Vi (x)m(x)dx = &nm , &nm = 1 if n %3D %3D = m , otherwise…

Q: Consider a potential energy barrierbut whose height Ub is 6.0 eV and whose thickness L is 0.70…

A: The probability that a particle of mass m and energy E will tunnel through a potential barrier of…

Q: A wave function of a particle with mass m is given by, Acosa ≤ ≤+ otherwise b(z) = {1 Find the…

A: See step 2 .

Q: Suppose that an electron trapped in a one- dimensional infinite well of width 250 pm is excited from…

A: The energy of a particle in a one-dimensional infinite well is given by,

Q: Consider a particle with 1-D wave-function (x) = kexp(-x²). Sketch (x),

Q: A 30-eV electron is incident on a square barrier of height 40 eV.(A) What is the probability that…

A: Given Data The energy of an electron is given as E = 30 eV. The voltage of a square barrier is V =…

Q: If the absolute value of the wave function of a proton is 2 times as large at location A than at…

Q: Calculate the transmission probability for quantum-mechanical tunneling in each of the following…

A: The expression for the transmission probability, The expression for the constant value,

Q: An electron in a one-dimensional infinite potential well of length L has ground-state energy E1.The…

A: The expression of the energy which is depended on the quantum state of the electron is,

Q: For a system of bosons at room temperature, compute the average occupancy of a single-particle state…

A: To determine: Average occupancy and probability of the state if the energy of the state is 1 eV…

Q: An electron having total energy E = 4.50 eV approaches a rectangular energy barrier with U = 5.00 eV…

A: (a) To determine the transmission coefficient, first, it needs to determine the constant α by the…

Q: An electron is trapped in a one-dimensional infinite potential well that is 100 pm wide, the…

A: Given : potential well, L = 100 × 10-12 m ∆x = 5.0 × 10-12 m

Q: Question related to Quantum Mechanics : Problem 2.38

A: (1)Time independent wave function is ψn(x,0)=∑nCnψn(x)Time dependent wave function is…

Q: The ground state energy of an electron in a one-dimensional trap with zero potential energy in the…

A: Given : Initial potential energy at the wall, E1 = 2.0 eV Let the initial width of potential well be…

Q: What is the ground-state energy of (a) an electron and (b) a proton if each is trapped in a…

A: Given: width of potential well L =273 pm =273*10-12 m

Q: A 100 g arrow travels with a speed of 30 ms-l over a distance of 50 m. If the initial size of the…

Q: What is the probability of finding a particle in the last 10% of a one-dimensional box for n = 1…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: how that ? (x,t) = A cos (kx - ?t) is not a solution to the time-dependent Schroedinger equation for…

A: Given, Wave function, ψx,t = A cos kx - ωt for a free particle, U(x) = 0 We know time dependent…

Q: If an electron’s position can be measured to a precisionof 2.4 x 10-8 m how precisely can its speed…

Q: An electron is bound in a square well of width 1.50 nm and depth U0 = 6E1-IDW. If the electron is…

A: The ground state energy of a finite square well is given by E1=0.625E1-1DW Here, E1-1DW=h28mL2 Here,…

Q: An electron, trapped in a one-dimensional infinite potential well 366 pm wide, is in its ground…

A: Width of potenial well= 366 x 10-12m mc2=5.11 x 103eV Objective- Energy needed to send electron to…

Q: A particle with mass m is in the state 2 mx a +iat ¥ (x,t) = Ae 2h where A and a are positive real…

Q: If the position of an electron in a membrane is measured to an accuracy of 1.00 μm , what is the…

A: Given data *The uncertainity in position is ∆x=1.00 μm=1.00×10-6 m *The value of the Planck's…

Q: If an electron's position can be measured to a precision of 3.0 × 10¯ m, how precisely can its speed…

A: Given: The precision in the electron's position is 3x10-8 m.

Q: Find the excitation energy from the ground level to the third excited level for an electron confined…

Q: Show that normalizing the particle-in-a-box wave function ψ_n (x)=A sin⁡(nπx/L) gives A=√(2/L).

Question

Pls answer

An electron beam having energy 2 eV incidents on a potential barrier having width
20x10 10 m and height 4 eV. Calculate the transmission probability for the electron.
(a) 9.98x1013
(b) 9.98x103
(c) 0
(d) 9.98x109
Answer
В
Submit

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Consider a potential energy barrierbut whose height Ub is 6.0 eV and whose thickness L is 0.70 nm.What is the energy of an incident electron whose transmissioncoefficient is 0.0010?
An electron is bound in a square well of width 1.05 nm and depth U0=6E∞, where E∞ is the ground-state energy for an infinitely deep potential well.If the electron is initially in the ground level, E1=0.625E∞ , and absorbs a photon, what maximum wavelength can the photon have and still liberate the electron from the well?
Calculate the transmission coefficient for an electron of total energy 2eV incident upon a rectangular potential barrier of height 2 eV and width 10-9 m
An electron is bound in a square well of width 1.50 nm and depth U0 = 6E1-IDW. If the electron is initially in the ground level and absorbs a photon, what maximum wavelength can the photon have and still liberate the electron from the well?
Consider an electron of energy 1 eV that encounters a potential barrier of width 0.1nm and energy height 2ev. what is the probability of the electron crossing the barrier? repeat the same calculation for a proton
An electron is trapped in a one-dimensional infinite well of width 250 pm and is in its ground state.What are the (a) longest, (b) second longest, and (c) third longest wavelengths of light that can excite the electron from the ground state via a single photon absorption?
Calculate the transmission and reflection coefficients for an electron withkinetic energy 8 eV and potential energy 0 eV that moves into a regionwith potential energy of 5 eV.
The ground-state energy of an electron trapped in a onedimensional infinite potential well is 2.6 eV.What will this quantity be if the width of the potential well is doubled?
What is the ground state energy (in eV) of an a -particle confined to a one-dimensional box the size of the uranium nucleus that has a radius of approximately 15.0 fm?
What is the ground state energy (in eV) of a proton confined to a one-dimensional box the size of the uranium nucleus that has a radius of approximately 15.0 fm?
A simple model of a radioactive nuclear decay assumes that a-particles are trapped inside a well of nuclear potential that walls are the barriers of a finite width 2.0 fm and height 30.0 MeV. Find the tunneling probability across the potential barrier of the wall for a-particles having kinetic energy (a) 29.0 MeV and (b) 20.0 MeV. The mass of the a -particle is m=6.641027kg.
A particle of mass m is confined to a box of width L. If the particle is in the first excited state, what are the probabilities of finding the particle in a region of width0.020 L around the given point x: (a) x=0.25L; (b) x=040L; (c) 0.75L and (d) x=0.90L.