Show that the classical Rayleigh?Jeans law for radiation follows from eq. (22.13) ? in the limit as

Question:

Show that the classical Rayleigh?Jeans law for radiation follows from eq. (22.13)

in the limit as ? ? 0.. Show that the total power radiated diverges in this limit (the ultraviolet catastrophe that helped lead to the discovery of quantum mechanics).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

The Physics of Energy

ISBN: 978-1107016651

1st edition

Authors: Robert L. Jaffe, Washington Taylor

See More Books

Question Posted: Jan 22, 2019 04:59 AM

See More Questions

(a) Show that for E ? 0, the Fermi factor may be written as (b) Show that if C?>> e ?E/kT , f(E) = Ae ?E/kT (d) Using the result obtained in part (c), show that the classical approximation is...
The classical probability distribution function for a particle in a one-dimensional box of length L is P = 1/L. (a) Show that the classical expectation value of x 2 for a particle in a...
Approximations to Planck's law for the spectral emissive power are the Wien and Rayleigh-Jeans spectral distributions, which are useful for the extreme low and high limits of the product ?T,...
Should courts ever enforce illegal contracts? If illegal contracts are void as a matter of law, what is the court enforcing? If courts will use equity powers or other roundabout ways to enforce...
What are some of the differences in skills that may exist between managers in a domestic firm and those in an international firm?
As shown in Fig. 10-2, a constant force of 40 N is applied tangentially to the rim of a wheel having a 20-cm radius. The wheel, which can rotate frictionlessly, has a moment of inertia of 30 kg m 2...
A six-cylinder petrol engine operates on the four-stroke cycle. The bore of each cylinder is $70 \mathrm{~mm}$ and stroke $100 \mathrm{~mm}$. The clearance volume per cylinder is \(67...
Multiple Choice Questions The following questions concern internal controls in the inventory and warehousing cycle. Choose the best response. a. Which of the following controls will most likely...
The ideal air to fuel ratio for an engine is 14.8:1. If a vehicle burns 7 lb of fuel, how many pounds of air should it draw to achieve the ideal ratio
The purpose of this assignment is to identify and apply Operations and Supply Chain Management concepts/tools to solve operational problems and improve operational performance. To this purpose, you...
Use dimensional analysis to show that the wavelength scale of blackbody radiation is given by th = hc/k B T . The average radiation energy in a cavity depends only on its volume and not on its shape...
In ?7, we showed that the energy of a particle of mass M in an L ? L ? L box in the state labeled |n, m, l? is E n, m, l = ? 2 ? 2 (n 2 + m 2 + l 2 )/2ML 2 . The probability of finding a particle in...
Data from Gallup polls over a 40-year period show how gun ownership in the United States has changed. The results are described in the table below, with the percent of Americans who own guns given in...
What is the role of a coordinator regional headquarters?
Why did Unilever announce that it was reducing the number of its brands from 1,600 to 400? What were the risks of doing so?
Why is global mobility reducing in the 2020s?
Name six commodity products which have forward and futures trades. Can you think of a commodity product not related to natural resources which has forward and futures trades?
Is digital remote working (working from anywhere) consolidating the globalization of enterprise? What is your answer If you are pro-globalization, and if you are anti-globalization?
What is the most surprising thing that you learned from reading this case? Explain your answer. What are the implications of this case for a U.S. retailer that wants to open in Europe? What are the...
Which of the companies has the lowest accounts receivable turnover in the year 20X2? a. Company A. b. Company B. c. Company C. d. CompanyD. 20X1 20X2 Credit Sales Average Receivables Balance $1.0...
Express the uniform vector field F = 5a x in (a) Cylindrical components; (b) Spherical components.
The surfaces r = 2 and 4, = 30 and 50, and = 20 and 60 identify a closed surface. Find (a) The enclosed volume; (b) The total area of the enclosing surface; (c) The total length of the twelve edges...
State whether or not A = B and, if not, what conditions are imposed on A and B when (a) A a x = B a x ; (b) A a x = B a x ; (c) A a x = B a x and A a x = B a x ; (d) A C = B C and A C = B ...
Annuity Payments Go to www.fcfcorp.com/onlinecalc.htm. Use the calculator to solve this problem. If you have $1,500,000 when you retire and want to withdraw an equal amount for the next 30 years, how...
Calculating Future Values Go to www.dinkytown.net and follow the Savings Calculator link. If you currently have $10,000 and invest this money at 9 percent, how much will you have in 30 years? Assume...
In 2023, Amanda and Jaxon Stuart have a daughter who is 1 year old. The Stuarts are full-time students and are both 23 years old. Their only sources of income are gains from stock they held for three...

Show that the classical Rayleigh?Jeans law for radiation follows from eq. (22.13) ? in the limit as

Question:

dP d Ado 2,2 eħw/kBT - 1

Step by Step Answer:

As 0 e kBT 1 kBT so the Planck radiation law be...View the full answer

The Physics of Energy

Students also viewed these Physics questions