EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 43, Problem 58GP
(a)
To determine
The unified distance of
(b)
To determine
The temperature corresponding to
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The peak intensity of the CMBR occurs at a wavelength of 1.1 mm. (a) What is the energy in eV of a 1.1-mm photon? (b) There are approximately 109 photons for each massive particle in deep space. Calculate the energy of 109 such photons. (c) If the average massive particle in space has a mass half that of a proton, what energy would be created by converting its mass to energy? (d) Does this imply that space is “matter dominated”? Explain briefly.
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b)The flux is defined asf(Dlum) = L/4πD^2lumwhere L is the absolute luminosity and Dlum is the distance to the radiation source (youmay assume z ≪ 1).Assume that we have measured the flux to be f = 7.234 10^−23 Wm^−2 and the absoluteluminosity is given by L = 3.828 x10^26W. Calculate the luminosity distance D lum to the objectin Mpc.
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Chapter 43 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 43 - Prob. 1QCh. 43 - If a proton is moving at very high speed, so that...Ch. 43 - Prob. 3QCh. 43 - Prob. 4QCh. 43 - Prob. 5QCh. 43 - Prob. 6QCh. 43 - Prob. 7QCh. 43 - Prob. 8QCh. 43 - Prob. 9QCh. 43 - Prob. 10Q
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- The peak intensity of the CMBR occurs at a wavelength of 1.1 mm. (a) What is the energy in eV of a 1.1-mm photon? (b) There are approximately 109 photons for each massive particle in deep space. Calculate the energy of 109 such photons. (c) If the average massive particle in space has a mass half that of a proton, what energy would be created byconverting its mass to energy? (d) Does this imply that space is “matter dominated”? Explain briefly.arrow_forwardEdwin Hubble observed that the light from very distant galaxies was redshifted and that the farther away a galaxy was, the greater its redshift. What does this say about very distant galaxies? When Hubble first estimated the Hubble constant, galaxy distances were still very uncertain, and he got a value for H of about 600 km/s per Mpc. What would this have implied about the age of the universe? What problems would this have presented for cosmologists?arrow_forward(a) Estimate the mass of the luminous matter in the known universe, given there are 1011 galaxies, each containing 1011 stars of average mass 1.5 times that of our Sun. (b) How many protons (the most abundant nuclide) are there in this mass? (c) Estimate the total number of particles in the observable universe by multiplying the answer to (b) by two, since there is an electron for each proton, and then by 109 , since there are far more particles (such as photons and neutrinos) in space than in luminous matter.arrow_forward
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- (a) What do you understand by ‘time Dilation’ On the basis of LorentzTransformations, discuss the variation of time with velocity according to thespecial theory of relativity. Explain why a moving clock appears to run slow?(b) Using Heisenberg uncertainty principle, show that electron cannot exist inside the nucleus.arrow_forwardAssume a flat Friedmann-Robertson-Walker universe, and that the density parameters for matter,radiation, and the cosmological constant are given today by Ωm,0 = 0.4, Ωrad,0 = 0.01, and ΩΛ,0 =0.59, respectively.a) Calculate the redshifts for matter-radiation and matter-dark energy equality. b) State what effect the lower ratio of ΩΛ,0/Ωm,0, compared to the standard Λ-CDM cosmology,has on structure formation.arrow_forwardWhat mechanism can simultaneously solve both the flatness and horizon problems in cosmology?arrow_forward
- The Friedmann equation in a matter-dominated universe with curvature is given by 87G -pR² – k , 3 where R is the scale factor, p is the matter densi, and k is a positive constant. Demonstrate that the parametric solution 4G po 4тG Po R(0) (1 – cos 0) 3 k and t( (e – sin 0) 3 k3/2 solves this equation, where 0 is a variable that runs from 0 to 27 and the present-day scale factor is set to Ro = 1. %3Darrow_forward(d) The expression for the Doppler shift given in the chapter and in Problem 8-8 is an approximation that works at relatively low speeds. The relativistic expression for the Doppler shift is Show that the relativistic expression is consistent with the equation given in the chapter for low atomic speeds.(e) Calculate the speed that an iron atom undergoing the 4s S 4p transition at 385.9911 nm (3859.911 Å) would have if the resulting line appeared at the rest wavelength for the same transition in nickel.(f) Compute the fraction of a sample of iron atoms at 10,000 K that would have the velocity calculated in (e).(g) Create a spreadsheet to calculate the Doppler half width DlD in nanometers for the nickel and iron lines cited in (b) and (e) from 3000–10,000 K.(h) Consult the paper by Gornushkin et al. (note 10) and list the four sources of pressure broadening thatthey describe. Explain in detail how two of these sources originate in sample atoms.arrow_forwardSuppose you are designing a proton decay experiment and you can detect 50 percent of the proton decays in a tank of water. (a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of 1031 y ?(b) How many cubic meters of water is this? (c) If the actual lifetime is 1033 y , how long would you have to wait on anaverage to see a single proton decay?arrow_forward
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