5. A free electron has a wave function ?(?) = ????(2.0 × 1010?) Find the electron’s...
5. A free electron has a wave function ?(?) = ????(2.0 × 1010?)
Find the electron’s (a) wavelength
(b) momentum
(c) speed
(d) kinetic energy
6. An electron with energy 8.0 eV is incident on a potential barrier which is 9.2 eV high and 0.25 nm wide.
(a) What is the probability that the electron will pass through the barrier?
(b) What is the probability that electron will be deflected?
Homework Answers
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5. A free electron has a wave function ?(?) = ????(2.0 ×
1010?)
Find the electron’s...
show work thanks. A 10 eV electron (an electron with a kinetic energy of 10 eV)...
show work thanks.
A 10 eV electron (an electron with a kinetic energy of 10 eV) is incident on a potential-energy barrier that has a height equal to 13 eV and a width equal to 1.0 nm. T = e^-2alpha a alpha > > 1 Use the above equation (35-29) to calculate the order of magnitude of the probability that the electron will tunnel through the barrier. 10 _________ Repeat your calculation for a width of 0.10 nm. 10 _________
0.91 nm 2.7 nm D | Question 25 4 pts A 2.0 eV electron is incident on a o.20-nm barrier that is 5.67 eV high. What is the probability that this electron will tunnel through the barrier? (1 ev 1.6...
0.91 nm 2.7 nm D | Question 25 4 pts A 2.0 eV electron is incident on a o.20-nm barrier that is 5.67 eV high. What is the probability that this electron will tunnel through the barrier? (1 ev 1.60 10-19 J, m 9.11 10-31 kg. h- 1.055 x 1034 J s, h 6.626 x 1034 j .s) 2.0 x 10-2 1.5 x 10-3 9.0 10-4 1.2 10-3 1.0 x 10-3
0.91 nm 2.7 nm D | Question 25 4...
A free electron has a wave function ψ(x)= Asin (5x1010 x) where x is measured in...
A free electron has a wave function ψ(x)= Asin (5x1010 x) where x is measured in meters. Find the electron's de Broglie wavelength the electron's momentum a. b, 3. When an electron is confined in the semi-infinite square, its wave function will be in the form Asin kx for0<x<L ψ(x)- Ce for x> L having L = 5 nm and k = 1.7 / nm. a. Find the energy of the state. b. Write down the matching conditions that the...
An electron approaches a 1.9-nm-wide potential-energy barrier of height 7.1 eV. What energy electron has a...
An electron approaches a 1.9-nm-wide potential-energy barrier of height 7.1 eV. What energy electron has a tunneling probability of 10%? What energy electron has a tunneling probability of 1.0%? What energy electron has a tunneling probability of 0.10%?
4. An electron having total energy E 4.50 eV approaches a rectangular Energy energy barrier with...
4. An electron having total energy E 4.50 eV approaches a rectangular Energy energy barrier with U= 5.00 eV and L = 950 pm as shown. Classically, the electron cannot pass through the barrier because E < U. However, quantum mechanically the probability of tunneling is not zero. a) Calculate this probability, which is the transmission coefficient. b) By how much would the width L of the potential barrier have to change for the chance of an incident 4.50-eV electron...
Compute the change in energy of the 2p→ 1s photon when a hydrogen atom is placed...
Compute the change in energy of the 2p→ 1s photon when a hydrogen atom is placed in a magnetic field of 2.00 T. 2 III. (12pts) The electron of a hydrogen atom is excited to the n= 5 state. (a) what is the Bohr radius of the electron? (b) what is the total energy of the electron? (c) what is the electron’s Coulomb potential energy and kinetic energy? IV. (12pts) X-ray photons of wavelength 0.120 nm are incident on a...
For a free electron with 100 keV kinetic energy, calculate the: a) electron speed b) electron...
For a free electron with 100 keV kinetic energy, calculate the: a) electron speed b) electron momentum c) de Broglie wavelength of the electron
Problem #5. A photon of wave length of 0.450 nm strikes a free electron that is...
Problem #5. A photon of wave length of 0.450 nm strikes a free electron that is initially at rest With ELASTIC COLLISSION. The incident photon is scattered STRAIGHT BACKWARD. A. What is the wave length of the scattered photon? B. What is the speed of the recoiled electron? 70=0.45mm Алл»-6- un Collision esas after me
Problem #5. A photon of wave length of 0.450 nm strikes a free electron that is...
Problem #5. A photon of wave length of 0.450 nm strikes a free electron that is initially at rest With ELASTIC COLLISSION. The incident photon is scattered STRAIGHT BACKWARD. A. What is the wave length of the scattered photon? 8. What is the speed of the recoiled electron? 70= 0.45mm unmaa Cenas "Collision Wed
An electron in freespace is described by a plane wave given by Ч (x, t)-A&(kx-at) where...
An electron in freespace is described by a plane wave given by Ч (x, t)-A&(kx-at) where k 1.5 x 10 m1 and w 1.5 x 1013 rad/s. Calculate: a. Wavelength and momentum of the wave (10 points) b. Total energy and its kinetic energy (in eV) (10 points) 2.
show work thanks.
A 10 eV electron (an electron with a kinetic energy of 10 eV) is incident on a potential-energy barrier that has a height equal to 13 eV and a width equal to 1.0 nm. T = e^-2alpha a alpha > > 1 Use the above equation (35-29) to calculate the order of magnitude of the probability that the electron will tunnel through the barrier. 10 _________ Repeat your calculation for a width of 0.10 nm. 10 _________
0.91 nm 2.7 nm D | Question 25 4 pts A 2.0 eV electron is incident on a o.20-nm barrier that is 5.67 eV high. What is the probability that this electron will tunnel through the barrier? (1 ev 1.60 10-19 J, m 9.11 10-31 kg. h- 1.055 x 1034 J s, h 6.626 x 1034 j .s) 2.0 x 10-2 1.5 x 10-3 9.0 10-4 1.2 10-3 1.0 x 10-3
0.91 nm 2.7 nm D | Question 25 4...
A free electron has a wave function ψ(x)= Asin (5x1010 x) where x is measured in meters. Find the electron's de Broglie wavelength the electron's momentum a. b, 3. When an electron is confined in the semi-infinite square, its wave function will be in the form Asin kx for0<x<L ψ(x)- Ce for x> L having L = 5 nm and k = 1.7 / nm. a. Find the energy of the state. b. Write down the matching conditions that the...
4. An electron having total energy E 4.50 eV approaches a rectangular Energy energy barrier with U= 5.00 eV and L = 950 pm as shown. Classically, the electron cannot pass through the barrier because E < U. However, quantum mechanically the probability of tunneling is not zero. a) Calculate this probability, which is the transmission coefficient. b) By how much would the width L of the potential barrier have to change for the chance of an incident 4.50-eV electron...
Problem #5. A photon of wave length of 0.450 nm strikes a free electron that is initially at rest With ELASTIC COLLISSION. The incident photon is scattered STRAIGHT BACKWARD. A. What is the wave length of the scattered photon? B. What is the speed of the recoiled electron? 70=0.45mm Алл»-6- un Collision esas after me
Problem #5. A photon of wave length of 0.450 nm strikes a free electron that is initially at rest With ELASTIC COLLISSION. The incident photon is scattered STRAIGHT BACKWARD. A. What is the wave length of the scattered photon? 8. What is the speed of the recoiled electron? 70= 0.45mm unmaa Cenas "Collision Wed
An electron in freespace is described by a plane wave given by Ч (x, t)-A&(kx-at) where k 1.5 x 10 m1 and w 1.5 x 1013 rad/s. Calculate: a. Wavelength and momentum of the wave (10 points) b. Total energy and its kinetic energy (in eV) (10 points) 2.
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