Question: Using Planck's formula, derive the approximate expressions for the space spectral density uw of radiation (a) In the range where hw < < kT (Rayleigh-Jeans

Using Planck's formula, derive the approximate expressions for the space spectral density uw of radiation
(a) In the range where hw << kT (Rayleigh-Jeans formula);
(b) In the range where hw << kT (Wien's formula).

Step by Step Solution

★★★★★

3.42 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

From Planeks formula Uw a... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

P-L-O-T-R (9).docx

120 KBs Word File

Students Have Also Explored These Related Light and Optics Questions!

Transform Planck's formula for space spectral density uw of radiation from the variable co to the variables v (linear frequency) and (wavelength).

Using Equations 3.6a, 3.6b, 3.6c, and 3.6d, derive expressions for each of the three primed indices set (u, v, and w) in terms of the four unprimed indices (u, v, t, and w).

Derive the following expressions by using vector algebra. (a) cos (a ) = cos a cos + sin a sin (b) sin (a ) = sin a cos cos a sin

Explain how the principles of quantum mechanics are able address the issues. The development of quantum mechanical theory stems from several issues that could not be addressed by the principles of...

(a) In SystemVerilog, what is the difference between: (i) The ternary operator ? and if...then...else statements? [2 marks] (ii) always_ff and always_comb? [2 marks] (iii) Blocking, non-blocking and...

Using "On the Spectrum of Hydrogen" by Niels Bohr -What is the main idea of the Author's argument? What is the main essence of the piece? -What ways does the author use to propose and support their...

Describe how to construct the function cpo ((D E), v) of two cpos (D, vD) and (E, vE). Prove that ((D E), v) is a cpo. (You may use facts about least upper bounds provided you state them clearly.)...

In the Vibrating Densitometer, the density can be calculated using the following formula: Derive the above formula using the Mass - Spring system oscillation frequency formula and Show the...

A huge impediment to humans\" investigating black holes up close is the aptly named phenomenon called spaghettication. Recall that tidal forces occur when an object in a gravitational eld is large,...

s1 educated (SSE) student for every three public school educated (PSE) students. Reasoning that students are not very dissimilar from threads, he suggests the following entry and exit routines be...

1. Compute the debt ratio and the debt to equity ratio at May 31, 2015 for Win's Companies. 2. Is Win's ability to pay its liabilities strong or weak? Explain your reasoning. Win's Companies, a home...

Southeastern Oklahoma State Universitys business program has the facilities and faculty to handle an enrollment of 2,000 new students per semester. However, in an effort to limit class sizes to a...

Rueda Company produces wheels for bicycles. During the year, 1 , 1 0 0 , 0 0 0 wheels were produced. The actual labor used was 5 4 0 , 0 0 0 hours at $ 1 5 . 5 0 per hour. Rueda has the following...

You have a problem and need a full-text copy of the Related Party Code Section 267. Go to the Office of the Law Revision Counsel of the United States House of Representatives website...

1. David and Darlene Jasper have one child, Sam, who is 6 years old (birthdate July 1, 2012). The Jaspers reside at 4639 Honeysuckle Lane, Los Angeles, CA 90248. Davids Social Security number is...

1. The following information is available for the Albert and Allison Gaytor family in addition to that provided in Chapters 16. The Gaytors paid tuition and fees for both Crocker and Cayman to attend...

Suppose that we are fitting a straight line and we desire to make the variance of A as small as possible. Restricting ourselves to an even number of experimental points, where should we place these...

Much is made of the fact that certain mutual funds outperform the market year after year (that is, the return from holding shares in the mutual fund is higher than the return from holding a portfolio...

What is corporate governance? In whose interest should corporations be governed? Briefly explain.

The following are debts in disguise except: I) accounts payable II) leases III) underfunded pensions

(a) Construct frequency and relative frequency distributions. (Round to the nearest integer as needed.) Class Limits Frequency f Relative Frequency i Data Table 21-25 % 26-30 % Full data set 31-35 %...

Question 28 According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a...