5

Consider a transition corresponding green laser light, with wavelength of 1 = 570 nm At room temperature (T = 200 K), determine the ratios of the populations on the...

Question

Consider a transition corresponding green laser light, with wavelength of 1 = 570 nm At room temperature (T = 200 K), determine the ratios of the populations on the upper and the lower laser energy levels of transition in thermal equilibrium; K-1.38*10-23

Consider a transition corresponding green laser light, with wavelength of 1 = 570 nm At room temperature (T = 200 K), determine the ratios of the populations on the upper and the lower laser energy levels of transition in thermal equilibrium; K-1.38*10-23



Answers

Calculate the energy differences, $\Delta E,$ and the relative populations of the upper and lower energy levels for transitions giving rise to absorption of the following at $298 \mathrm{K}$ (Section 10.3 ): (a) an IR photon with wavenumber $2000 \mathrm{cm}^{-1}$ (b) a microwave photon with frequency $20 \mathrm{GHz}$; (c) visible light with wavelength 500 nm; (d) an X-ray with wavelength $4 \mathrm{nm}$; (e) a radio wave with frequency $10 \mathrm{MHz}$. (Assume the degeneracy of all the levels is $g=1$.)

Hello students in this question we have a system of atoms in thermal equilibrium at absorbing energy E. It is equal to 2.0 electron volt. And we have to determine the ratio of the tarnation rate Transition rate of stimulated emission to spontaneous emission at a temperature equals to 300 Calvin. And from the previous problem we have we have this ratio which is equal to one by the to the power catch new Day whereby Goldsman constant. K. Be manipulated temperature T. So this energy is E. Okay, which is given and this energy can be converted into jewels. So 2.0 player by 1.6. More related to the power minus 19 jewels. Okay, so we can substitute the values so one divided by this E. To the power energy E. Which is equals two, Which is equal to the 2.0 molecular by 1.6 molecular by 10 to the power -19 jewels, divided by the spokesman constant. So I will write this letter Okay. Kb which is Goldsman constant which is equal to which is equal to 1.381 particular by 10 to the power minus 23 jewel per kelvin and molecular by this temperature T which is 300 Calvin. Okay and this power E. Okay and this -1. Okay so now we will solve this factors and we will obtain that this factor after solving it is obtained as 2.7 manipulated by 10 to the power -34. Okay so this become answer for this problem and this ratio is very very low. Okay Okay so this becomes answer for this problem. Thank you.

Hello students in this question we have a co two laser with λ not equals to 10.6 micrometer. The laser transition occurs between vibrational state of carbon dioxide molecules at temperature t equals to 300 Calvin. So we have to calculate the Doppler line with delta nudie and delta MD. Okay so delta nudie is given by to develop a lambda north and two Kb muscular body temperature. T develop a molecular mass M. And this L. N. Two to the power one by two. So we can substitute all the values for to develop a lambda note which is 10.68 to 10 to the power minus six m and two more players KV. Goldsman constant which is one country. It Into 10 to the power -23 Jewel per Kelvin temperature which is 300 Kelvin. They were the molecular mass of the carbon dioxide which is 44/10 of molecular mass of hydrogen That is 1.67 into 10 to the power -27. And this natural log of two and this one x 2. So after solving this new t. This is nearly equal to the 53 miracles. Okay. No we can solve for the delta lambda D. So delta lambda D. It is given by the it is given by the lambda not divided by C. And these two Kb temperature T divided by M. And this one by two power. Okay so lambda note which is 1.6 Earth at 10.6 micrometers That is 10 to the power -6 m see which is the speed of light. That is three and 2 10 to the power eight metaphor second tumor KV, which is one point create Into 10 to the power manage 23 temperature is 300 Calvin. They were B. M. Is 40 former player by 1.678 to 10 to the power minus 27 this one by two. So after solving, they'll tell them that they will be nearly equals to 0.2 angry stone. Okay, so this is the answer for this problem. Thank you.

Hello students in this question we have a co two laser with λ not equals to 10.6 micrometer. The laser transition occurs between vibrational state of carbon dioxide molecules at temperature t equals to 300 Calvin. So we have to calculate the Doppler line with delta nudie and delta MD. Okay so delta nudie is given by to develop a lambda north and two Kb muscular body temperature. T develop a molecular mass M. And this L. N. Two to the power one by two. So we can substitute all the values for to develop a lambda note which is 10.68 to 10 to the power minus six m and two more players KV. Goldsman constant which is one country. It Into 10 to the power -23 Jewel per Kelvin temperature which is 300 Kelvin. They were the molecular mass of the carbon dioxide which is 44/10 of molecular mass of hydrogen That is 1.67 into 10 to the power -27. And this natural log of two and this one x 2. So after solving this new t. This is nearly equal to the 53 miracles. Okay. No we can solve for the delta lambda D. So delta lambda D. It is given by the it is given by the lambda not divided by C. And these two Kb temperature T divided by M. And this one by two power. Okay so lambda note which is 1.6 Earth at 10.6 micrometers That is 10 to the power -6 m see which is the speed of light. That is three and 2 10 to the power eight metaphor second tumor KV, which is one point create Into 10 to the power manage 23 temperature is 300 Calvin. They were B. M. Is 40 former player by 1.678 to 10 to the power minus 27 this one by two. So after solving, they'll tell them that they will be nearly equals to 0.2 angry stone. Okay, so this is the answer for this problem. Thank you.

So having this problem, we have to estimate the limiting temperature T for a rubidium atom that are cold using laser light with the equivalent Linda were given us 7 80. Not only do so, it can be written us 7 80 times 10 to the power minus nine Mito Now in situation, they are saying that energy from absorbing or emitting a single photon is comparable to its total kinetic energy. So the total kinetic energy is given by K is equal to if over two time skating, where this key is the Ballston constant and its value, we have 1.381 times 10 to the power negative 23 jewel per kelvin and F is the degree of freedom and here f will be called to three. So you can write that f is equal to three. Now, By using the D broccoli formula, we can write the energy from absorbing single photon would be equals two p square over to him where p is the momentum of fortune and momentum of photon is defined by peace equals two H over Linda. You can put this expression here so energy would be equals two p square means h over Linda and it squared, divided by two times. Um, so it would be called to H square over two times M times Lambda Square. Now here h is the planks constant and its value. We know it is 6.626 times 10 to the power negative 34 jewel second and the mass of rubidium atom. We have 1 41.1 times 10 to the power negative. It's 27 kg. Now. Can you create these two expression here to calculate the expression for the temperature t so this would become three by two times Katie is equals two each square over two times M times Lambda Square. Now from here, we'll get the expression for temperature to be a square divide by three times M times, K times Linda Square. Now we have all the values. You can park it here to calculate the temperature two so temperature t would be called to H Square means this one square so 6.626 times 10 to the power negative 24 it's squared. Divide by three times and we have 1 41 0.1 times 10 to the power. Negative. 27 kg and it is multiplied with K. And okay, we have this much. So one point 381 times 10 to the power. Negative. 23 jewel per kelvin times. Lambda Square is this much? So 7. 80 point. Sorry. It's 700 times 10 to the power minus 9 m. Now can simplify for the temperature T and we'll get the temperature T to be nearly 1.24 times 10 to the power minus seven. Calvin so did the answer for them. Given problem, I hope you have understood the problem. Thank you.


Similar Solved Questions

4 answers
O5LinearAlgebra OrthoBases PB: Problem 7PrevUpNext(10 pts) Let A =F1 6 Find an orthonormal basis of the kernel ofPreview AnswersSubmit AnswersYou have attempted this problem times_ You have 10 attempts remaining_
O5LinearAlgebra OrthoBases PB: Problem 7 Prev Up Next (10 pts) Let A = F1 6 Find an orthonormal basis of the kernel of Preview Answers Submit Answers You have attempted this problem times_ You have 10 attempts remaining_...
5 answers
Two vectors 2,+ and X ~ 3y are perpendicular. Find the angle between A 'y#H-z
Two vectors 2,+ and X ~ 3y are perpendicular. Find the angle between A 'y#H-z...
5 answers
Continuous whole life insurance is issued to (40). Z is the present value random variable for this InsuranceYou are given: Mortality follows de Moivre s law with w = 105. Simple interest with i = 0.02. 1000 0.4t2Calculate E[Z]:
continuous whole life insurance is issued to (40). Z is the present value random variable for this Insurance You are given: Mortality follows de Moivre s law with w = 105. Simple interest with i = 0.02. 1000 0.4t2 Calculate E[Z]:...
4 answers
= for - = interest revenue 16 What is and W differences 20% in vear financial reporting purposes_ Vi 543,000 from plans entreaoi between began use Lh municipal M taxes ncome boraser and The the InYedi for vear 1 H taxable W dtasx over a and income rate S320,000, 50%6 purchasedr other than - ooxwhich H those includes 8 Gtrsckuforfe8 1 00
= for - = interest revenue 16 What is and W differences 20% in vear financial reporting purposes_ Vi 543,000 from plans entreaoi between began use Lh municipal M taxes ncome boraser and The the InYedi for vear 1 H taxable W dtasx over a and income rate S320,000, 50%6 purchasedr other than - ooxwhic...
5 answers
Three regions are defined in the figureC (0,2(1,2 )=2 VxY =2XA(1,0)Find the volume generated bY rotating the given region about the specified line9R 3 about BC
Three regions are defined in the figure C (0,2 (1,2 ) =2 Vx Y =2X A(1,0) Find the volume generated bY rotating the given region about the specified line 9R 3 about BC...
5 answers
EwgibIGiven the initial simplex table, identify the most negative indicator; use the positive entries in the pivot column to form the quotients needed to determine the pivot: The pivot is
EwgibI Given the initial simplex table, identify the most negative indicator; use the positive entries in the pivot column to form the quotients needed to determine the pivot: The pivot is...
5 answers
Castlegar Lumber & Hardware pays the City of Castlelgar $298 at the beginning of every quarter to lease tract ot land' within the city boundaries: What should the company offer the city as purchase price monthly? interest Is 5.750 compoundele
Castlegar Lumber & Hardware pays the City of Castlelgar $298 at the beginning of every quarter to lease tract ot land' within the city boundaries: What should the company offer the city as purchase price monthly? interest Is 5.750 compound ele...
5 answers
3) Given data set, using Ll-norm distance_OIDCLUSTER5 10X 10 20 10 15252025 201510
3) Given data set, using Ll-norm distance_ OID CLUSTER 5 10 X 10 20 10 15 25 20 25 20 15 10...
5 answers
Find the parametric equations of the straight line passing through point A and parallel to the line (BC) A(1,- 3,4) , B( ~ 3, 4,5) , and c(-1, -2, - 1)Answer:a) Write the vector BC_ Jwritk the parametric equations of the line.
Find the parametric equations of the straight line passing through point A and parallel to the line (BC) A(1,- 3,4) , B( ~ 3, 4,5) , and c(-1, -2, - 1) Answer: a) Write the vector BC_ Jwritk the parametric equations of the line....
4 answers
Find z if 62% of the data is to the right of z.
Find z if 62% of the data is to the right of z....
5 answers
15 0/ 16}FA7BN ioicu pulle Fonzontaty on41 #-kE block Ilalnlddan Aroctharuarienl huriaet Mrrntio connoclod by A horlrortnl etring Io Wecdmalnclnl Mass Iti , 093kv Dn tunaltnomlEeni ttanennipaanMmtion#Talnn"Lrpiott Voui (nekor Voind"gniniceni (lqutod;SubiniRequralanenuiAn€Idugsuu dctieno Enton mn0 sIr 4] incionco Dodcl or snynciougc)Decrnec Staua Ira snicsujAcqueuiAubit
15 0/ 16} FA7BN ioicu pulle Fonzontaty on41 #-kE block Ilalnlddan Aroctharuarienl huriaet Mrrntio connoclod by A horlrortnl etring Io Wecdmalnclnl Mass Iti , 093kv Dn tunaltn oml Eeni ttanenni paan Mmtion #Talnn" Lrpiott Voui (nekor Voind "gniniceni (lqutod; Subini Requralanenui An€ ...
5 answers
L01o40atrtenc kacntion Wiarownual reM {10,00O; pd ppotuty; und the Inten sI rate ! 6 comtontad conbnnalyFudtns craltzl viue d 2Taceolcl vdlo '
L01o40 atrtenc kacntion Wiaro wnual reM {10,00O; pd ppotuty; und the Inten sI rate ! 6 comtontad conbnnaly Fudtns craltzl viue d 2 Taceolcl vdlo '...
4 answers
Name the following compound according to IUPAC nomenclature (no common names}:NCIsName the following compound according to IUPAC nomenclature (no common names): CuFName the following compound according to IUPAC nomenclature (no common names): SnSeName the following compound according to IUPAC nomenclature (no common names): HCIO (aq)
Name the following compound according to IUPAC nomenclature (no common names}: NCIs Name the following compound according to IUPAC nomenclature (no common names): CuF Name the following compound according to IUPAC nomenclature (no common names): SnSe Name the following compound according to IUPAC no...
5 answers
Queston preveas changes =auer Quostcn J Calculale _ malality ol a solutlon made Put Iwo dissokvlng ? 31 mol = dacimala soluto nnswer SC0 ml_ mecNen IChat hos deteslly ot 1 JJgm
Queston preveas changes = auer Quostcn J Calculale _ malality ol a solutlon made Put Iwo dissokvlng ? 31 mol = dacimala soluto nnswer SC0 ml_ mecNen IChat hos deteslly ot 1 JJgm...

-- 0.020525--