Use the thermodynamic identity dU = TdS - PdV to show that the energy density of a photon gas is proportional to T.
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…
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Q: Consider a beam of a CW laser at 800 nm with a power of 1 Watt. Calculate the number of photons…
A: It is given that,The wavelength of CW laser is The power of Laseris .
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A: To show that, the most probable speed of the Maxwell-Boltzmann distribution of molecular speed is…
Q: Use the thermodynamic identity ?? = ??? − ??? to show that the energy density of a photon gas is…
A: The objective of the question is to demonstrate that the energy density of a photon gas is…
Q: wavelength shift for photons detected at angle (relative to the incident beam) of exactly 30.0…
A: Given:- X-rays of wavelength λ = 0.140 nm are scattered from carbon. Find:- a) What is the Compton…
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A: a) The expression used to find energy density of photon gas is U=4σT4c…
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Q: The work function of cesium is 1.6 x 10-19 J. Calculate the maximum speed of the electrons emitted…
A: work function of cesium (W) = 1.6×10-19 J wavelength of incident light = 0.589 μm
Q: Consider a beam of a CW laser at 800 nm with a power of 1 Watt. Calculate the energy of the photons…
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Q: Explain – based solely on thermodynamic considerations – why the energy density of a photon cavity…
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Q: Consider a Compton scattering process wherein an incoming photon strikes an electron at rest. The…
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Q: Calculate the linear momentum of photons of wavelength 350 nm. At what speed does a hydrogen…
A: Given data The wavelength of the photon is λ = 350 nm = 350 x 10-9 m The expression for the…
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Q: Assume the temperature of the photon gas and the number of photons are held constant. Find a formula…
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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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A: Given,High-energy photons propagating through space can convert into electron-positron pairs by…
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: Use the formula P = -(8U/8V)S,N to show that the pressure of a photon gas is 1/3 times the energy…
A: The expression for the energy density of the photons is, Rewrite the equation for. Here, is the…
Q: The sun can be treated as a blackbody at 5780 K. Using EES (or other) software, calculate and plot…
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Q: Consider a black body of surface area 20.0 cm² and temperature 5000 K. Find the spectral power at…
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- Assume we have a material with a work function of 4.87 eV. What is the maximum speed, in meteres per second, of electrons ejected from this metal by photons of light with wavelength 85 nm?A 2.0-mW green laser ( λ = 532 nm) shines on a cesium photocathode (Φ =1.95 eV). Assume an efficiency of 10-5 for producing photoelectrons (that is, one photoelectron produced for every 105 incident photons) and determine the photoelectric currentCalculate the frequency and momentum of a photon of wavelength 620 nm.
- Just like the optical part of the spectrum, radio waves can be described in terms of photons - although they can be very difficult to detect. Consider the photons in radio waves from an FM station that has a 88.3-MHz broadcast frequency. Find the energy in joules of a photon in the radio waves.(a) Use the appropriate Uncertainty Principle to calculate the linewidth uncertainty in units of Hz, for an optical emission transition that has a lifetime of τ = 10−9 s. (b) Use calculus to show that an emission transition that has a linewidth of ∆f in frequency, has a linewidth in wavelength given by ∆λ = −(λ^2)/c * ∆f (c) What would be the linewidth in nm, of a transition at 600 nm if it had the lifetime given in part (a)?Estimate the wavelength and energy (in eV) of a photon with which one can resolve featuresof a sample that are 0.1 nm in size. Assume that in order to resolve a feature, the wavelength mustbe smaller than the size of the feature.(b) Estimate the wavelength and energy (in eV) of an electron with which one can resolve featuresof a sample that are 0.1 nm in size. Again, assume that in order to resolve a feature, thewavelength must be smaller than the size of the feat
- . Find the momentum of a photon in eV/c and in kg·m/s if the wavelength is (a) 400 nm, (b) 1 Å = 0.1 nm, (c) 3 cm, and (d) 2 nm.In collection of microscopic oscillators, the temperature is high enough that the ground state and the first two excited states are occupied. Which stands to all the possible energies of the photons emitted by these oscillators: 0.5hoo, ħwo O hwo, 2ħwo O 0.5hwo, 2ħwo Find the values of all the possible energies of photons emitted by such oscillators in eV if the lowest energy photon observed in the vibrational spectrum is 0.039 eV. Possible energies are : eV, eV