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The image below shows the wave function of an electron in a rigid box. The electron...
An electron is confined in the ground state in a one-dimensional box of width 10-10 m....
An electron is confined in the ground state in a one-dimensional box of width 10-10 m. Its energy is known to be 38 eV. (a) Calculate the energy of the electron in its first and second excited states (b) Sketch the wave functions for the ground state, the first and the second excited states (c) Estimate the average force (in Newtons) exerted on the walls of the box when the electron is in the ground state. (d) Sketch the new...
5. (25 pts) An electron is trapped inside a rigid box of length L-0.250nm. a) If the electron is initially in the second excited state, what is the wavelength of the emitted photon if the electron ju...
5. (25 pts) An electron is trapped inside a rigid box of length L-0.250nm. a) If the electron is initially in the second excited state, what is the wavelength of the emitted photon if the electron jumps to the ground state? b) The wavefunction for the electron in its first excited state is given by-(x)fsin2m excited state is given by ψ(x)--sin what is the probability of finding the electron in the middle region of the rigid box, srsc) Sketch the...
The particle in a box model is often used to make rough estimates of energy level...
The particle in a box model is often used to make rough estimates of energy level spacings. For a metal wire 10.0 cm long, treat a conduction electron as a particle confined to a one-dimensional box of length 10.0 cm. Which of the following shows the wave function was a function of position for the electron in this box for the ground state? We were unable to transcribe this image
II.6. The wave function of a particle in a 1D rigid box (infinite potential well) of...
II.6. The wave function of a particle in a 1D rigid box (infinite potential well) of length L is: v, 8, 1) = sin(x)e-En/5). n = 1,2,3... What is the probability density of finding the particle in its 2nd excited state?
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...
In the ground state of the Hydrogen atom the energy of the electron is E state...
In the ground state of the Hydrogen atom the energy of the electron is E state of the He ion? -13.61 eV. What is the energy of the electron in the ground Submit Answer Tries 0/20 What is the energy of the electron in the ground state of the u** ion? Submit Arower Tries 0/20 The electron in the Helon is excited to the n-2 principal state. What is the energy of the electron now? Submit Awer Tries 0/20 What...
In the image below, a = 2.40nm and b = 4.80nm. W (x) x(nm) "a QU...
In the image below, a = 2.40nm and b = 4.80nm. W (x) x(nm) "a QU b At what position is the electron most likely to be found? Submit Answer Tries 0/10 At what positions are the electron least likely to be found? (Enter the lowest of the two positions first, followed by the higher of the two.) Submit Answer Tries 0/10
2. Consider an electron in a 1D potential box (V(x) = 0 for 0<x<L, V(x) =...
2. Consider an electron in a 1D potential box (V(x) = 0 for 0<x<L, V(x) = co otherwise) of length L = 1 nm. The electron is described by the wave function, c) = Jasin ( (a) Using the appropriate Hamiltonian derive an expression for the kinetic energy of the electron (5 marks) (b) Calculate the energy (in Joules) of the transition between the ground state and the 1 excited state. [3 marks]
29.62 - Probability: The Heisenberg Uncertainty Principle If the position of an electron in a membrane...
29.62 - Probability: The Heisenberg Uncertainty Principle If the position of an electron in a membrane is measured to an accuracy of 1.00 pm, what is the electron's minimum uncertainty in velocity? Submit Answer Tries 0/10 If the electron has this velocity, what is its kinetic energy in eV? (You do not need to enter any units.) (What are the implications of this energy, comparing it to typical molecular binding energies?) Tev Submit Answer Tries 0/10
Page Two Consider an electron trapped in a 1-D box of length 5.0 nm, and we...
Page Two Consider an electron trapped in a 1-D box of length 5.0 nm, and we have determined that the probability of finding the electron in a particular state is represented by the following illustration. Answer the questions below: |Y12 - - - - - - - - - - ЛР - - 5 nm X 1. What is the value of the quantum number in this state? 2. What is the energy of the electron in this state where...
An electron is confined in the ground state in a one-dimensional box of width 10-10 m. Its energy is known to be 38 eV. (a) Calculate the energy of the electron in its first and second excited states (b) Sketch the wave functions for the ground state, the first and the second excited states (c) Estimate the average force (in Newtons) exerted on the walls of the box when the electron is in the ground state. (d) Sketch the new...
5. (25 pts) An electron is trapped inside a rigid box of length L-0.250nm. a) If the electron is initially in the second excited state, what is the wavelength of the emitted photon if the electron jumps to the ground state? b) The wavefunction for the electron in its first excited state is given by-(x)fsin2m excited state is given by ψ(x)--sin what is the probability of finding the electron in the middle region of the rigid box, srsc) Sketch the...
The particle in a box model is often used to make rough estimates of energy level spacings. For a metal wire 10.0 cm long, treat a conduction electron as a particle confined to a one-dimensional box of length 10.0 cm. Which of the following shows the wave function was a function of position for the electron in this box for the ground state? We were unable to transcribe this image
II.6. The wave function of a particle in a 1D rigid box (infinite potential well) of length L is: v, 8, 1) = sin(x)e-En/5). n = 1,2,3... What is the probability density of finding the particle in its 2nd excited state?
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...
In the ground state of the Hydrogen atom the energy of the electron is E state of the He ion? -13.61 eV. What is the energy of the electron in the ground Submit Answer Tries 0/20 What is the energy of the electron in the ground state of the u** ion? Submit Arower Tries 0/20 The electron in the Helon is excited to the n-2 principal state. What is the energy of the electron now? Submit Awer Tries 0/20 What...
In the image below, a = 2.40nm and b = 4.80nm. W (x) x(nm) "a QU b At what position is the electron most likely to be found? Submit Answer Tries 0/10 At what positions are the electron least likely to be found? (Enter the lowest of the two positions first, followed by the higher of the two.) Submit Answer Tries 0/10
2. Consider an electron in a 1D potential box (V(x) = 0 for 0<x<L, V(x) = co otherwise) of length L = 1 nm. The electron is described by the wave function, c) = Jasin ( (a) Using the appropriate Hamiltonian derive an expression for the kinetic energy of the electron (5 marks) (b) Calculate the energy (in Joules) of the transition between the ground state and the 1 excited state. [3 marks]
29.62 - Probability: The Heisenberg Uncertainty Principle If the position of an electron in a membrane is measured to an accuracy of 1.00 pm, what is the electron's minimum uncertainty in velocity? Submit Answer Tries 0/10 If the electron has this velocity, what is its kinetic energy in eV? (You do not need to enter any units.) (What are the implications of this energy, comparing it to typical molecular binding energies?) Tev Submit Answer Tries 0/10
Page Two Consider an electron trapped in a 1-D box of length 5.0 nm, and we have determined that the probability of finding the electron in a particular state is represented by the following illustration. Answer the questions below: |Y12 - - - - - - - - - - ЛР - - 5 nm X 1. What is the value of the quantum number in this state? 2. What is the energy of the electron in this state where...
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