1) Calculate the "classical" radius of an electron. Treat the electron not as a point charge, but as a uniformly charged sphere. Use E = mc² to calculate the energy of electron. Comment on the validity of your answer (does it make sense).
Q: 2. Consider a charged particle in a box of length L. A uniform electric field is along the x-axis…
A: Given: Charge particle is inside a box of length L Unperturbed eigen states φn(0)=2Lsin(nπxL) ,…
Q: In a hydrogen atom the electron is at a distance a = 5.28 x 10-" m from the nuclcus, which consists…
A: distance of electron from nucleus (a) = 5.28×10-11 m charge on electron = -1.6×10-19 C charge on…
Q: 2. It is known that the harmonic oscillator has a Hamiltonian (p²) x² + mw? 2m H, 2 and an electric…
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Q: Q 1 / Prove mathematically that the full energy of the electron is (Etotal = -e2/8nor between the…
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Q: e number of spectral lines
A: The spectral lines Can be formed when electrons are transmit from excited state or nth state to…
Q: Ex. 2 Calculate the change in angular. momentum of electron when it jumps from 3rd orbit to 1st…
A: To find-Change in angular momentumGiven-Electron jumps from 3rd orbit to 1st orbit
Q: Q2. Find the Flux of E(x.y.2) = (2x'+ siny+8x) i -6y'i +( 3z+5z-2)k Out of the ellipsoid (x-5), -8)'…
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Q: Could you please give reasons as to why you choose those answers. Can you have as many…
A: Can you have as many protons and neutrons as you want in each energy level of the shell model?…
Q: Q/ What are the number of spectral lines that can be emitted when the hydrogen atom returns from (n…
A: Given, n = 5 The number of spectral lines that can be emitted when the hydrogen atom returns from n…
Q: Q. 4: An electron of momentum p is at a distance r from a stationary proton. The electron has…
A: Dear student as you asked a question with 6 subpart, according to Bartleby policy for solving…
Q: Q1) Design an observer for the oscillatory system *(t) = v(t) v(t) = -w3 x(t) Consider the states x=…
A: A oscillation system is an object that moves back and forth and always returns to its original state…
Q: QUESTION 8 An electron is traveling in a circle of radius 1.30 Å. What is the energy eigenvalue of…
A: Given R=1.30Å We know mass of electron is M=9.109x10-31kg n=m=1
Q: How does the answer to the previous question change if instead of a single jump from state n= 6 to…
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Q: Question 1 The energy eigenvalues of a particle in a 3-D box of dimensions (a, b, c) is given by 2…
A: By considering degeneracy we can calculate both parts.
Q: la) The maximum value of the Planck spectrum for 91 photons at 6 Kelvin is (k=Boltzmann constant)…
A: a)
Q: The Lennard-Jones
A: Flow of Energy Diagrams (also known as Energy Flow Charts) are used to graphically and statistically…
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A: Step 1: Step 2: Step 3: Step 4:
Q: 1. Consider the Schrödinger equation for a particle in the presence of the potential of the form…
A: Since we answer up to one question, we will answer the first question only. Please resubmit the…
Q: 2. Calculate the transmission probability T for proton ('H; mass 1.007825 amu) and deuterium (2H;…
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Q: 1b. Find the potential difference between the two shells. Show the following steps: i. Choosing the…
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Q: 1. A model of interest for quantum mechanics, due to its simplicity, corresponds to a delta wall. A…
A: Given, Potential is Vx=δx width of the well is L and height o the well is SL And Schrodinger's…
Q: Q1 V(x) a: The figure to the right shows a potential well where V(X)=0 for 0<x<a and V(X)=V₁…
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Q: Consider a particle of mass m moving in two dimensions (neglect gravity). The particle feels a…
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Q: Which of the following best describes the limitations of the Lennard-Jones potential? Select one: a.…
A: Intramolecular Forces: Forces that operate within the molecule. For example, in a CO2 molecule, the…
Q: Problem A new type of force was discovered by physicists with the following expression: a Fnew + Be*…
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Q: 4/ Please explain the answer in detail
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Q: The energy of the second excited state of an electron in a one-dimensional box is equal to the…
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Q: 3. A particle of mass moves in one dimension in a potential given by v(s)-c8(s). where 8() is the…
A: Given that, A particle is in a one-dimensional box The mass of the particle is m And the potential…
Q: 1. The state of an electron is described by the wavefunction P(x,y,z) = Cxye-Vx²+y*+z*)/a Where C…
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Q: Problems, Section 9 number,10,11. Please answer the questions
A: Solving part 10:
Q: The Lennard-Jones parar
A: Lennard - jones model consists two parts a steep repulsive term and smoother attractive term…
Q: 2) Use the trial wavefunction ø(r) Ne-ar?, where N and a are constants, in a variational calculation…
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Q: In the relativistic treatment of the hydrogen atom (excluding QED), the 251/2 and 2P1/2 levels are…
A: Option (c) is correct. Because by Lande 's Interval rule splitting depend only total angular…
Q: 13. An electron possessing the kinetic energy E approaches a potential barrier of the heightU = 2E…
A: Given an electron with kinetic energy E approaching a potential barrier if height U = 2E…
Q: Q/ What are the number of spectral lines that can be emitted when the hydrogen atom returns from (n…
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Q: To five significant figures, what accelerating potential difference AV is required to detect the ion…
A: We need to use the concept of Lorentz force. When an object (having charge) enters a magnetic field,…
Q: Part A The nucleus of a typical atom is 5.0 fm ( 1 fm 10-15 m) in diameter. A very simple model of…
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Q: Q/ What are the number of spectral lines that can be emitted when the hydrogen atom returns from (n…
A: Spectral lines= (n2-n1)(n2-n1+1)/2 n2=6,n1=1
Q: A particle confined in a rigid one-dimensional box of length 13.1fm has an energy level En =25.59MEV…
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Q: Example 1 The atom-atom interaction potential is given by : C =---- 7 U(r) = Determine for this…
A: Given Data: The atom-atom interaction potential energy (U(r)) = -Cr7. To Determine: (a). The…
Q: In Dirac notation, after the equation B|ø)=b\¢)is solved, we often write the solutions as {|Pn}} and…
A: Generally the wave function in quantum mechanics for a given state is represented by ϕn(x) .But from…
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