![lefthandeddolan](/avatars/37185.jpg)
lefthandeddolan
13.07.2019 •
Physics
In this exercise you will become familiar with planck's distribution and energy quantization. planck's distribution was important to the development of quantum mechanics and has many applications. for example the energy distribution of light from the sun follows planck's distribution. you will see how quantization of energy and the boltzmann distribution lead the correct average energy of an electromagnetic oscillator and the correct distribution of energy for black-body radiation, planck's distribution, below o(at)- where h is planck's constant and k is the boltzmann constant. this expression differs from its classical equivalent, the rayleigh-jeans law, where the average total energy of an electromagnetic oscillator which is taken to be kt. the rayleigh-jeans law is planck was able to derive the correct expression based on the revolutionary idea that electromagnetic oscillators have quantized energy, e = nhv, where n= 0, 1, 2, and the number of oscillators excited to a given quantized energy level is given by boltzmann's distribution, n = noe-nhykt with n , i the number of unexcited oscillators. make a table with the headings, energy of level = nhv, # excited (noe-hv/kt), and total energy at this level nhu noe-nm/kt for n = 0 to n = 4 so you can start to see a pattern. (3 points) write an expression for the average energy of an oscillator based on appropriate infinite sums according to the pattern you see from a. above. substitute x = e-hv/kt and write an expression for the average energy of an electromagnetic oscillator of a given wavelength (5 points) derive the correct expression for average energy of an oscillator by using the following infinite series which apply for x < iii. (6 points) a. b. c. 1+1+12 +x3 + + xn =_=> x" (-1 < x < 1) and 冶(1+1+12 +x3 + + x") = (11)2-2-0 nxn-1 dr (1-x show that for low frequency and long wavelength or high temperature the average energy can be approximated by kt (hint: use l'hopital's rule for the low frequency case and use the expansion d. σ points) ) for the high t limit including only the first order term. note that 0! = 1 ) e'- (6 o
Solved
Show answers
More tips
- S Style and Beauty How to Tie a Tie Correctly: A Simple Guide...
- F Food and Cooking How to Make Polendwitsa at Home?...
- F Family and Home Parents or Environment: Who Has the Most Influence on a Child s Upbringing?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Physics
- P Physics : It s important for designers and installers to ensure that equipment ground fault current paths have which will facilitate the tripping if the over current protective device?...
- P Physics A car is initially travelling at 25 m/s and accelerates for 5s at 5m/s2. What is the final velocity of the car? How far did it travel during those 5 seconds?...
- P Physics What is potential difference...
- P Physics Because of the conditions that give rise to them, tornadoes do not have the widespread destructive effects of hurricanes. Nevertheless, the winds encountered in some tornadoes...
- P Physics g Suppose that 3 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 50 cm. (a) How much work is needed to stretch the spring from 40 cm to...
- P Physics A 250-kg motorcycle goes around an unbanked turn of radius 13.7 m at a steady 96.5 km/h. What is the magnitude of the net force on the motorcycle...
- P Physics Please help ASAP. There are 3 question it would be a big help if you can answer any....
- M Mathematics Select all the expressions that are equivalent to 16x + 36...
- M Mathematics Marie is saving money for home repairs. To date, she has saved $1,438. She needs at least $1,828 for the repairs. She plans to set aside $39 per week to add to her current savings....
- C Computers and Technology What is the best phone company that sells long lasting battery life phones?...
Ответ:
3
Explanation:
I love base ball