The population ratio between two energy levelsninjseparated in energy by:A E = E₁ - Ejwith AE = 1.1×10-22 J is 0.84. That is:ni= 0.84 with AE = 1.1×10-22]njRemember the Boltzmann equation for the population of particles in state i with energy Ei at temperature T is:Nn₁ = = eZWhat is the temperature of the system (use two sig figs)?4.0 ✓K

The temperature is 1.39 KExplanation:Step 1:njni=exp(−kTEi−Ej)=exp(−kTΔE) Step 2:Solve the…

Answered: The population ratio between two energy…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter33: Particle Physics

Section: Chapter Questions

Problem 19PE: (a) What is the uncertainty in the energy released in the decay of a due to its short lifetime? (b)...

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here R jl and nl is a function of x or k ??? i m confusd advance physics questionn
The chemical potential of an ideal gas Use as ƏN E,V V S(E,V, N) = Nk| ln N 3 In 2 3Νπh? a. Derive the dependence of the chemical potential u on E, V, and N for an ideal classical gas. b. Use 3 E = -NkT. to determine µ(T, V, N)
6 of rom no This ng of The number N of aroms in a particulation state is called the population of the state. This number depends on the the state and the tempreture. In thermal equilibrium the , energy Popular jon of atoms in a state of energy En is given by Boltzmann distribution N= Nge (En-Es)/Kot where I is the absolute tempreture and Ng is the population of the ground state, of Energy Ey. Find the equilibrium ratio of the populations, of the State E and E₂ Shown in the figure : Ez E. 7=632.8mm
How many particles are present in a closed container if the energy it contains is 97940.99J, and the diatomic oxygen gas is moving at a velocity of 58.55m/s? Use only the whole number for the value of atomic mass unit. Express your answer in proper scientific notation. USE GRESA AND 9.81 m/s squared for the gravity. Two decimals only
Prove that the thermal conductivity could also be written as: neKB 3KBT m Where KB denotes the Boltzmann constant and m denotes the electron ng the expression of the electric conductivity o previously established he problem, prove that the Lorentz number is given by: 2 Steam Heat flow T- OT 2 E+ OT dx A dE dx 3 (KBY == { B E Figure 2 T-(17) E C E- 1 dE dx Cand
What is the effective number of relativistic degrees of freedom g* for a thermal plasma at a temperature of 30 MeV? Note that at this temperature one should expect that the following particle species are in equilibrium: electrons, neutrinos, and photons.
a. Consider an eectron m ov ing in a circu lar orbitof rad ius ras show n in Figure 1. From the po intofview of the electron, the nucleus orb its around the electron as can be seen in F igure 2. +Ze +Ze Figure 1 Figure 2 From the given infom ation, show that he sp in – orbit interaction energy is a function of S-L, w here S and L are respectively sp in and orb ital angu lar m om enta. 11
(a) What is the uncertainty in the energy released in the decay of a due to its short lifetime? (b) What traction of the decay energy is this, noting that the decay mode is (so that all the mass is destroyed)?
When two galaxies collide, the stars do not generally run into eachother, but the gas clouds do collide, triggeering a burst of new star formation. a) Estimate the probability that our Sun would collide with another star in the Andromeda galaxy if a collision between the Milky Way and Andromeda occured. Assume that each galaxy has 100 billion stars exactly like the sun, spread evenly over a circular disk with a radius of 100,000 lightyears. (Hint: first calculate total area of 100 billion circles with the radius of the Sun and then compare that to total area to the area of the Galatic disk) b) Estimate the probability of a collision between a gas cloud in our galaxy and one in the Andromeda galaxy. Assume that each galaxy has 100,000 clouds of warm hydrogen gas, each with a radius of 300 lightyears, spread evenly over the same disk. Use the same method as part A.
Question B1 a) A nuclear power station delivers 1 GW of electricity for a year from uranium fission. Given that a single fission event delivers about 200 MeV of heat, estimate the number of atoms that underwent fission, their mass, and the loss of mass of the fuel elements.
What is the partition function for the system shown? a. b. C. d. E₁ Eo -Eo/KT + e-E₁/kT 2e-Eo/kT +3e-ElkT 3e¯ e-Eo/2kT + e-E₁/3kT e-2Eo/kT + e-³E₁/KT
P17.5 Another important uncertainty principle is encountered in time-dependent systems. It relates the lifetime of a state At with the measured spread in the photon energy AE associated with the decay of this state to a stationary state of the system. "Derive" the relation AE At ≥ h/2 in the following steps. a. Starting from E = p/2m and AE = (dE/dpx)^px, Vx Apx. show that AE = b. Using vx = Ax/At, show that AE At = ApxAx ≥ h/2. c. Estimate the width of a spectral line originating from the decay of a state of lifetime 1.0 × 10s and 1.0 × 10-¹¹ s in inverse seconds and inverse centimeters.

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