Write down the dispersion relation of a photon in vacuum. Hence derive the relationship between the energy E and momentum p of a photon.
Q: Write the pressure in terms of the internal energy density for a gas of photons, and explain why it…
A: In a photon gas, the pressure (P) can be expressed in terms of the internal energy density (u) by…
Q: Consider an electron confined to a box of length L = 436 pm. (a) A transition between energy levels…
A: Given: An electron is confined to a box with length, L=436 pm. A transition is made between the n=4…
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Q: Calculate the transmission and reflection coefficients for an electron with kinetic energy 8 eV and…
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Q: Advanced Physics Consider the gauge transformations: A(x, t) = AL(x, t) + VXo(x,t) (x, t) Ф(х, t) 3…
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Q: Consider an electron confined to a box of length L = 436 pm. (a) A transition between energy levels…
A: The problem is based on the concept of a quantum mechanical box. A quantum mechanical box, also…
Q: A potential takes the value V = 0eV when x L. A beam of electrons with energy E is incident upon it…
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Q: Find the Helmholtz free energy of the photon gas, in terms of just U and a multiplicative constant.
A: The canonical partition function for photons is given as: ZC= ∏k11-exp(-βhvk) & The Helmholtz…
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Q: x 0; what is the energy E? (answer in Vo) 0, 3. For a potential step V(x) = { 1 Ans: Vo, if the…
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Q: Photon in a Gaussian Beam. (a) Consider a single photon described by a Gaussian beam (the TEM0,0…
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Q: The Helmholtz energy is also called the "work function" because it is equivalent to irreversible…
A: Given that The Helmholtz Energy is called as Work function as it is equivalent to irreversible work…
Q: Find Laplace transform of the function t2 Sint.
A: We haveLt2 sin 2t=-12d2ds2Lsin 2tLt2 sin2t=dds×dds2s2+4=dds-4ss2+42=s2+42-4+4s.2s2+4×2ss2+44Lt2 sin…
Q: Consider a uniform source of neutrons in a diffusive, non-absorbing medium located between two…
A: Given: Uniform source in a diffusive, non-absorbing medium Two concentric sphere of radii a and b…
Q: If we know that ∂/∂t Ψ(a,t)=IℏΨ(a,t), show that ∂/∂t Ψ(a,t)=0 when T≤273K
A: If we know that ∂/∂t Ψ(a,t)=IℏΨ(a,t), show that ∂/∂t Ψ(a,t)=0 when T≤273K.
Q: Explain – based solely on thermodynamic considerations – why the energy density of a photon cavity…
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Q: Consider a system defined by the Schrödinger cigenvahuc equation {- (V +V)+ r - r2} v(r1, r2) =…
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Q: (a) Compute the effect of collisional damping on the propagation of Langmuir waves (plasma…
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Q: Assume the temperature of the photon gas and the number of photons are held constant. Find a formula…
A: Black body radiation has been modeled as a cavity with photon gas. Photons are considered as the…
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Q: A historic failure of classical physics is its description of the electro- magnetic radiation from a…
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A: The second ionization potentials of helium atom is 54.4 eV. A Singly ionized Helium atom, like…
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Q: Find inverse laplace transform of - 1 (5+1) (5²+1)
A: Step 1: Laplace Transform: let f(t) be a function of t defined for 0≤t≤∞ then Laplace transform of…
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Q: Write the pressure in terms of the internal energy density for a gas of photons, and explain why it…
A: Imagine a box filled with light particles (photons) bouncing around. This light gas, called a photon…
Q: - electromagnetic waves,
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Q: Problem 2.34:- Show that E must be greater than minimum value of Ve for every normalizeable solution…
A: Time independent Schrodinger wave equation for particle with energy E moving in potential V(x) is,…
Q: What is the approximate transmission probability (in %) of an electron with total energy 1.3 eV…
A: Here we have a very simple question. But the question in the bracket is worth thinking a lot. How…
Q: It is stated without proof with respect to Bragg’s law that when the atoms are not sym- metrically…
A: Write the equation of Bragg’s law. Draw the schematic diagram of the system.
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