5. Starting from the Plank distribution, 2he² Ba(A, T) = Derive Wien displacement law by maximizing the distribution. 6. Use the Plank distribution to derive the Stefan-Boltzman Law.

Q: 5. Given the single particle (ideal perfect gas) partition function Z = particle ideal gas equation.…

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Q: 1. what phase of matter have particles  close together but are not held rigidly? 2. what phase of…

A: (Since there are multiple questions posted, we will answer the first question for you. If you want…

Q: What is the difference between spectral emission and absorption lines? And what is their origin? 2.…

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Q: 8. At the center of the Sun, the mass density is p = 1.52 × 105kgm-3 an the mean opacity is K =…

A: Its  a very simple question. The important thing here is to know the formula by which we can…

Q: Imagine a certain kind of particle, such that each single-particle state can be occupied by at most…

A: Red

Q: 1. What is the Fermi energy (EF) for the electrons in a white dwarf of radius R=10-² Ro and M = 1 Mo…

A: Here we have an interesting problem. Basically, the formula of the fermi energy of a white dwarf is…

Q: If I have three fermions in states v, y', and " (a) Construct a fully asymmetric state V (F1, 72,…

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Q: Does a closed system obey the law of conservation of matter ? Explain why

A: Given: The objective is to find does the closed system obey the law of conservation of matter.

Q: 2. Prove, using the formal limit definition of the derivative, that if f(x) = then f'(2) = -1

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Q: 3. Kittel, Ch4-7. Free energy of photon gas. (a) Show that the partition function of a photon gas is…

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Q: A tank contains water vapor, water droplets, and chemically inert helium gas. How many independent…

A: Gibbs phase rule gives the relationship between the number of phases and number of constituents in a…

Q: kx² Calculate [p,Ĥ] any way that is easiest for you! 2 -h? a? In differential form, we have H 2m дх*

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Q: 3.1. Brownian moments. Use the definition of Brownian motion to compute the fol- lowing moments: (a)…

A: It is related to  the mathematical properties of Brownian motion, a fundamental concept in…

Q: Consider a particle of mass m moving in two dimensions (neglect gravity). The particle feels a…

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Q: At midday when a black grain storage facility is directly under the Sun, it receives 1,025 W of…

A: Power = 1025 W emissivity = 1 Area = 1 m2

Q: 4. A proton and an electron recombine to form atomic hydrogen in its 4p state. At what wavelengths…

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Q: 4. The first excited state of the helium atom lies at an energy 19.82 eV above the ground state. If…

A: Solution     Given dataEnergy difference E0−E1=19.82eVDegeneracy for ground state go=1Degeneracy for…

Q: 2) Interstellar dust radiate most of its energy at 100 µm. Assuming the dust to be a blackbody…

A: Interstellar dust is formed during the supernova of stars. When a star dies, it ejects its outer…

Q: 8. Plot the radial probability densities of 2p, 3p, and 4p orbitals in a single plot altogether.…

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Q: 4. While tying his shoes, a person holds the shoestrings at the angles indicated in the illustration…

A: Downwards force (F) = 20 lbs θ1 = 30oθ2 = 40o

Q: 1. Use the I function to do the following: TZ (a) prove that z!(-z)! where z is any real number .…

A: Using the Gauss representation of the Gamma function:…

Q: 10. Suppose you have a sphere with a surface area of about 1.3 m². If the temperature of the sphere…

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Q: 3. For free particles in two dimensions, what is density of states (DOS) in low speed limit…

A: