3- Find the fluctuation of "the number of particles" and "energy" in a grand canonical ensemble and establish its equivalence to a canonical ensemble.

Q: A sphere of radius R has a density p. What would be the density of a sphere with the same mass and a…

A: Density is defined as the mass per unit volume.  i.e.   ρ=mV    Here ρ is the density.            m…

Q: 1. What is the final velocity of an initially at rest electron as it accelerates in a 100kV electric…

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Q: 1. Two very small slits are positioned a distance of 4.15 nm from each other. A relativistic stream…

A: The kinetic energy of the proton is Ek   = 8 E0  = 8 x 938 MeV =7504 MeV Where E0 is the rest mass…

Q: (b) Calculate the demagnetizing field Ha of a uniformly magnetized sphere of radius R for r< R from…

A: The radius of the magnetized sphere is given as, R. The magnetic flux is given as, φmr=14πm·r→r3…

Q: The average lifetime of a muon is about 2.0 x 10 s. Estimate the minimum uncertainty in the ene J

A: The average lifetime of a muon                           We need to find the minimum uncertainty in…

Q: This problem studies the classical and quantum harmonic oscillators. (a) First, we study the…

A: here, we need time interval then it is possible to solve your problem.

Q: If light with = 20 nm strikes potassium, what is the maximum kinetic energy Kmar of the ejected…

A: The problem can be solved by using the photoelectric effect.  Photoelectric effect, the phenomenon…

Q: JC-30) White Dwarfs A white dwarf is a very dense star, with its ions and electrons packed extremely…

A:

Q: (ii). Calculate the de Broglie wavelengths of the following objects and discuss the relevance of…

A: Given: A neutron Mass of neutron, Velocity of neutron, To find: De broglie wavelength of the…

Q: (Kittel 6.4) Energy of gas of extreme relativistic particles. Extreme relativistic particles have…

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Q: A particle is confined to a one-dimensional harmonic oscillator having infinitely high walls and is…

A: Quantum mechanics started with Plank's work on blackbody radiation. In his work, he emphasized that…

Q: 9. In an experiment to measure the mass of the negative K meson (kaon) the photon energy for the…

A: Let Z be defined as the atomic number of the nucleus around which Kaon is moving in a circular…

Q: ii) Two objects (a) an electron and (b) a bowling ball of mass 6.0 kg are moving with speeds of…

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Q: 8) What is the DeBroglie wavelength of an electron traveling at a speed of 0.5c?

A:

Q: 4. A particle is in state described by the a wavefunction y=(at)1/4e-(ax2)/2 where -o <x <00. Verify…

A:

Q: 1) Calculate the "classical" radius of an electron. Treat the electron not as a point charge, but as…

A: To find the classical radius of  electron in question it is given all required procedure, 1. To…

Q: Write down the expression for the n=4 energy of a quantum particle of mass m in a box of width l.…

A: The expression of the energy for a quantum particle in box is given by…

Q: Show that the ψ100 wave function of the hydrogen atom satisfies the Schrodinger equation.

A: To show: The ψ100 wave function of the hydrogen atom satisfies the Schrodinger equation.

Q: 2. A particle of mass m moves in a region whose potential energy is V = V0. a) Show that the wave…

A: The time-dependent Schrodinger equation is given by, -ℏ22md2dx2ψ(x,t)+V(x)ψ(x,t)=iℏ∂∂tψ(x,t) Here…

Q: Listen You are measuring the average speed of your well-trained dog. The dog runs to the end of a…

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Q: A particle is in state described by the a wavefunction y=(at)1/4e-(ax2)/2 where -∞< x <∞. Verify…

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Q: The lifetime of a muon in its own frame of reference is measured to be 3.10 x 106 s. What is the…

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Q: According to the uncertainty principle, if the momentum of a particle is known with perfect…

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Q: 2. A free particle (a particle that has zero potential energy) has mass 8 eV/c² and total energy 10…

A: Given  m = 8ev/c2 E = 10 ev V = 5 ev To find- the first three subparts above