# lyman series longest wavelength

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Solution for Do the Balmer and Lyman series overlap? {/eq} or vice versa. Calculate the shortest and longest wavelength in H spectrum of Lyman series. Therefore, longest wavelength (121.5 nm) emitted in the Lyman series is the electron transition from n=2 --> n=1, which also called the Lyman-alpha (Ly-α) line. 29.3k SHARES. If shortest wavelength of H-atom in Balmer series is X then
(i) What is the shortest wave length in Lyman series. Compare the amount of energy needed for the... A hydrogen-like ion is an ion containing only one... 1. - Definition & Equation, Spin Quantum Number: Definition & Example, Spectrochemical Series: Definition & Classes of Ligands, Electron Affinity: Definition, Trends & Equation, Electron Orbital: Definition, Shells & Shapes, Energy & Momentum of a Photon: Equation & Calculations, Angular Momentum Quantum Number: Definition & Example, Calculating Density with Mass vs. Volume Graphs, Hund's Rule, the Pauli Exclusion Principle & the Aufbau Principle, CSET Science Subtest II Earth and Space Sciences (219): Test Prep & Study Guide, ILTS Science - Earth and Space Science (108): Test Practice and Study Guide, Introduction to Astronomy: Certificate Program, History 106: The Civil War and Reconstruction, SAT Subject Test Literature: Practice and Study Guide, Science 102: Principles of Physical Science, Intro to Excel: Essential Training & Tutorials, Biological and Biomedical (b) Determine the photon energies corresponding to these wavelengths. Find the wavelength of the three longest-wavelength lines of the Lyman series. Click hereto get an answer to your question ️ Find the longest wavelength in Paschen series (Given R = 1.097 × 10^7 m^-1) What is the energy difference between the transition with the longest wavelength in the Lyman series and the transition with the shortest wavelength in the Paschen series? Dec 23,2020 - The difference between the longest wavelength line of the Balmer series and shortest wavelength line of the Lyman series for a hydrogen like atom (Atomic number Z) equal to λ. To enable Verizon Media and our partners to process your personal data select 'I agree', or select 'Manage settings' for more information and to manage your choices. The first emission line in the Lyman series corresponds to the electron dropping from #n = 2# to #n = 1#. $R_H = 109678 cm^{-1}$ The Rydberg constant is {eq}1.09737\times 107 m^1 {/eq}. What is the longest possible wavelength emitted in the Balmer series? Let us consider the case of a hydrogen atom in which the electron either jumps from the {eq}n^{th}_1 In the spectrum of hydrogen. To answer this, calculate the shortest-wavelength Balmer line and the longest-wavelength Lyman line. Wrong Answer Wrong Explanation Wrong Question Question not related to topic Spelling Mistakes. The wavelength λ of the spectral line of Lyman series can be calculated using the following formula: 1 λ = R [ 1 1 2 − 1 n 2 2] The longest wavelength is the first line of the series for which n 2 = 2 The wavenumber of a photon is the number of waves of the photon in a unit length. 29.3k VIEWS. The shortest wavelength in Paschen Series is therefore 818 nm. Answer to: (a) Determine the longest wavelength in the Lyman series (nf = 1) of hydrogen. Different lines of Lyman series are . {/eq} to the lower energy level {eq}n_1 = 1
(ii) What is the longest wave length in Paschen series. Find (a) the longest wavelength in the Lyman series and (b) the shortest wav… 03:23. here u mentioned about lyman series and longest wavelength so, n1 = 1 and n2=2 so, by putting the value wave number = 109678 ( 1/(1)^2 – 1/(2)^2 ) wave number = 109678 ( 1/1 – 1/4) = 109678 ( 1-1/4 ) = 109678 * ¾ kindly calculate the above and u will get the answer HOPE IT CLEARS YOUR DOUBT CHEERS 5:58 300+ LIKES Please help! Question. And so the maximum wavelength of the Lyman series— subscript L means Lyman. Do the Balmer and Lyman series overlap? What is the longest wavelength in Lyman series? Thanks! {/eq} orbit to the {eq}n^{th}_2 Q88: NEET - 2015 Doubts . {/eq}. asked Dec 22, 2018 in Physics by Maryam (79.1k points) atoms; nuclei; neet +1 vote. 14.0k SHARES. It does make sense to talk about the longest wave in Lyman series and about the shortest wavelength in the Balmer series. 29.3k VIEWS. For example, in the Lyman series, n 1 is always 1. Yahoo is part of Verizon Media. But, Lyman series is in the UV wavelength range. 29.3k VIEWS. The second longest wavelength is 486.1 nm. - Definitions & Types, Continuous Spectrum: Definition & Overview, What is a Photon? Solution for Do the Balmer and Lyman series overlap? Lyman series and Balmer series were named after the scientists who found them. Information about your device and internet connection, including your IP address, Browsing and search activity while using Verizon Media websites and apps. α line of Lyman series p = 1 and n = 2; α line of Lyman series p = 1 and n = 3; γ line of Lyman series p = 1 and n = 4; the longest line of Lyman series p = 1 and n = 2; the shortest line of Lyman series p = 1 and n = ∞ © copyright 2003-2021 Study.com. What is the longest possible wavelength emitted in the Balmer series? Add your answer and earn points. 14.0k VIEWS. physics A Goodyear blimp typically contains 5400m^3 of helium (He) at an absolute pressure of 1.1*10^5Pa. menu. Solution for The Lyman series for the hydrogen atom is shown in the graph. Management. Find the wavelength of first line of lyman series in the same spectrum. Solution 17PE= 121.54 nm Our experts can answer your tough homework and study questions. Lines are named sequentially starting from the longest wavelength/lowest frequency of the series, using Greek letters within each series. This turns out to be 121.6 nm (2). Electrons are falling to the 1-level to produce lines in the Lyman series. For the Balmer series, n 1 is always 2, because electrons are falling to the 2-level. For example, the 2 → 1 line is called "Lyman-alpha" (Ly-α), while the 7 → 3 line is called "Paschen-delta” (Pa-δ). It does not make sense to ask for the "longest wavelength" that could ionize the hydrogen atom since there is ONLY ONE wavelength that can do it (assuming we are talking about the hydrogen atom in the ground state). And so the maximum wavelength of the Lyman series— subscript L means Lyman. Different lines of Lyman series are . In 1885, when Johann Balmer observed a spectral series in the visible spectrum of hydrogen, he made the following observations: The longest wavelength is 656.3 nm. For shortest wavelength in Paschen Series n 1 =2 and n 2 =. {/eq} and the higher state of the hydrogen atom is {eq}n_2 > 1 If the shortest wavelength of hydrogen atom in Lyman series is x, then longest wavelength askedOct 26, 2018in Chemistryby Samantha(38.8kpoints) $R_H = 109678 cm^{-1}$ You can use the Rydberg formula (1) to find the wavelength of the photon associated with this jump. Marketing. Since the Lyman series is the jump from n=>2 to n=1, the smallest energy gap is the jump from n=2 to n=1. When naming the lines of the spectra, we use a Greek letter. The shortest wavelength of H-atom in Lyman series is x, then longest wavelength in Balmer series of is 3:24 20.7k LIKES. Find (a) the longest wavelength in the Lyman series and (b) theshortest wavelength in the Paschen series. Doubly ionized lithium, Li^2+ with Z=3 is in n=2... A hydrogen atom is in the ground state. The first six series have specific names: Lyman series with $$n_1 = 1$$ {/eq} is known as the Lyman series. You can use the Rydberg formula (1) to find the wavelength of the photon associated with this jump. For the longest wavelength of the Lyman series, we have: Therefore, the longest wavelength in the Lyman series is given by. Calculate the shortest and longest wavelength in H spectrum of Lyman series. If the shortest wavelength of H atom in Lyman series is ‘a’, then longest wavelength in Balmer series of He+ is A:a/4 B:5a/9 C:4a/9 D:9a/5. Solution ) For Lyman series n1 = 1. Products. Services, Working Scholars® Bringing Tuition-Free College to the Community, Rydberg constant: {eq}R = 1.097\times 10^7/\rm m All other trademarks and copyrights are the property of their respective owners. a)Calculate the longest wavelengths for light in the Balmer, Lyman, and Brackett series for hydrogen. 5:58 28.6k LIKES Determine (a) the longest wavelength and (b) the shortest wavelength of the emitted… The longest wavelength is 656.3 nm; The second longest wavelength is 486.1 nm; And the third is 434.1 nm; Also, as the wavelength decreases the lines appear closer together and weak in intensity; He found a simple formula for the observed wavelengths: Further, for n=∞, you can get the limit of the series at a wavelength of 364.6 nm. To answer this, calculate the shortest-wavelength Balmer line and the longest-wavelength Lyman line. The value of the Rydberg constant for the given atom isa) b)c)d)Correct answer is option 'C'. The ratio of the largest to shortest wavelength in Lyman series of hydrogen spectra is 2:49 600+ LIKES. We and our partners will store and/or access information on your device through the use of cookies and similar technologies, to display personalised ads and content, for ad and content measurement, audience insights and product development. Solution for Find (a) the longest wavelength in the Lyman series and (b) theshortest wavelength in the Paschen series The shortest wavelength of H atom is the Lyman series is λ1. The longest wavelength in the Lyman series corresponds to the smallest energy gap jump. R H = 109678 cm-1? Physics Q&A Library Find (a) the longest wavelength in the Lyman series and (b) theshortest wavelength in the Paschen series. Question 1) Calculate the shortest and longest wavelength in H- spectrum of Lyman series. According to Bohr’s model, Lyman series is displayed when electron transition takes place from higher energy states(n h =2,3,4,5,6,…) to n l =1 energy state. The Lyman series lies in the ultraviolet, whereas the Paschen, Brackett, and Pfund series lie in the infrared. \lambda_{L_{max}} &= \dfrac{1}{(1.097\times/\rm m)\left[\dfrac{1}{1^2} - \dfrac{1}{2^2}\right]}\times\left[\dfrac{10^9 \ \rm nm}{1 \ \rm m}\right]\$0.3cm] the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is:-(a) 4/9 (b) 9/4 (c) 27/5 (d) 5/27. b)Calculate the shortest wavelengths for light in the Balmer, Lyman, and Brackett series for hydrogen. For the longest wavelength of the Lyman series, we have: n1 =1 and n2 =2 n 1 = 1 and n 2 = 2. 656 nm 545 nm 365 nm 344 nm What is the shortest possible wavelength in the Lyman series? To answer this, calculate the shortest-wavelength Balmer line and the longest-wavelength Lyman line. Thanks! For shortest λ of Lyman series , energy difference in two levels showing transition should be maximum, n2 = ∞ 1 / λ = R H [( 1/ n … {/eq}, the corresponding spectral series related to the electromagnetic radiation because of the electron jumping from the higher energy level {eq}(n_2 \geq 2) Economics. Lyman series (n l =1). the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is:-(a) 4/9 (b) 9/4 (c) 27/5 (d) 5/27. Calculate the wavelength of the first, second, third, and fourth members of the Lyman series. n 2 is the level being jumped from. Find the shortest wavelength in the Balmer series. In 1885, when Johann Balmer observed a spectral series in the visible spectrum of hydrogen, he made the following observations: The longest wavelength is 656.3 nm. The shortest wavelength of H-atom in Lyman series is x, then longest wavelength in Balmer series of is 3:24 20.7k LIKES. The second longest wavelength is 486.1 nm. Hence, for the longest wavelength transition, ṽ has to be the smallest. For shortest λ of Lyman series , energy difference in two levels showing transition should be maximum, n2 = ∞ 1 / λ = R H [( 1/ n … To answer this, calculate the shortest-wavelength Balmer line and the longest-wavelength Lyman line. In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is asked Dec 22, 2018 in Physics by Maryam ( 79.1k points) atoms Business. The Rydberg's formula for the hydrogen atom is. The spectral lines are grouped into series according to n′. The wavelength λ of the spectral line of Lyman series can be calculated using the following formula: \[\frac{1}{\lambda} = R\left[ \frac{1}{1^2} - \frac{1}{n_2^2} \right]$ The longest wavelength is the first line of the series for which (a) Determine the longest wavelength in the Lyman series (nf = 1) of hydrogen. So we have Rydberg's constant—1.097 times 10 to the 7 reciprocal meters— times 1 over the final energy level squared minus 1 over the initial energy level of 2 squared and then all that gets raised to the exponent negative 1 giving a maximum possible wavelength in the Lyman series of 121.5 nanometers. The longest wavelength in the Balmer series of He^+ is :- (1) 5λ1/9 asked Sep 12 in Chemistry by RamanKumar ( 49.8k points) Sciences, Culinary Arts and Personal
(ii) What is the longest wave length in Paschen series. Calculate the shortest and longest wavelength in hydrogen spectrum of Lyman series. If shortest wavelength of H-atom in Balmer series is X then
(i) What is the shortest wave length in Lyman series. Accounting. This formula gives a wavelength of lines in the Lyman series of the hydrogen spectrum. Example $$\PageIndex{1}$$: The Lyman Series. Calculate the longest wavelength in Lyman Series. Question 1) Calculate the shortest and longest wavelength in H- spectrum of Lyman series. Do the Balmer and Lyman series overlap? if the shortest wavelength in lyman series of hydrogen atom is a then the longest wavelength in paschen series of he is - Chemistry - TopperLearning.com | fslzbz55 \lambda_{L_{max}} &\approx \boxed{{\color{red}{121.5 \ \rm nm}}}\\ When the lowest of state of the hydrogen atom is {eq}n_1 = 1 Please help! Lines are named sequentially starting from the longest wavelength/lowest frequency of the series, using Greek letters within each series. This formula gives a wavelength of lines in the Lyman series of the hydrogen spectrum. The Rydberg constant is 1.09737\times 107 m^1. The frequency of light emitted at this wavelength is 2.47 × 10^15 hertz. Calculate the wavelength of the first, second, third, and fourth members of the Lyman series. For the Balmer series, n i = 2. 365 nm 91 nm 820 nm 122 nm In the hydrogen atom, for which transition is the... An electron gains energy in the transition from a... Find the maximum possible number of photons... 1. This formula gives a wavelength of lines in the Lyman series of the hydrogen spectrum. The so-called Lyman series of lines in the emission spectrum of hydrogen corresponds to transitions from various excited states to the n = 1 orbit. #R_(oo) ~~ 1.097373 * 10^7"m"^(-1)# #n_f = 1# #n_i = 2# Rearrange to solve for #lamda# #lamda = 1/(R_(oo) * (1 - 1/n_i^2))# Plug in your values to find Problem 26. The wavelengths in the hydrogen spectrum with m=1 form a series of spectral lines called the Lyman series. Obtain the ratio of the shortest wavelength of spectral line in the Lyman series to the longest wavelength of spectral line in the Balmer series. What is the smallest-wavelength line in the Balmer series? The Lyman series wavelengths are given by . Thus, the expression of wavenumber(ṽ) is given by, Wave number (ṽ) is inversely proportional to wavelength of transition. 29.3k SHARES. For example, the ($$n_1=1/n_2=2$$) line is called "Lyman-alpha" (Ly-α), while the ($$n_1=3/n_2=7$$) line is called "Paschen-delta" (Pa-δ). O 10.2 eV O 8.71 eV 4.92 V 11.7V 121 V pawanarora1 pawanarora1 Wavenumbers is a convenient unit in spectroscopy because it is directly proportional to energy. 1 answer. Earn Transferable Credit & Get your Degree, Get access to this video and our entire Q&A library. The longest wavelength in the Lyman series corresponds to the . According to the values cited in Problem 5.44, the wavelength differences be… 06:17. The longest wavelength in the Lyman series corresponds to the smallest energy gap jump. Correct Answer is: (d) second-longest wavelength of the Balmer series. The wavelength of first line of balmer series in hydrogen spectrum is 6563 A. Problem 21 (a) Calculate the longest and shortest wavelengths for the Paschen series. 365 nm 91 nm 820 nm 122 nm This turns out to be 121.6 nm (2). α line of Lyman series p = 1 and n = 2; α line of Lyman series p = 1 and n = 3; γ line of Lyman series p = 1 and n = 4; the longest line of Lyman series p = 1 and n = 2; the shortest line of Lyman series p = 1 and n = ∞ (b) Determine the photon energies corresponding to these wavelengths. All the wavelength of Lyman series falls in Ultraviolet band. Further transitions possible are B (longest λ of the Balmer series), C (longest λ of the Lyman series) and D (second-longest λ of the Lyman series). Finance. The ratio of the largest to shortest wavelength in Lyman series of hydrogen spectra is 2:49 600+ LIKES. 656 nm 545 nm 365 nm 344 nm What is the shortest possible wavelength in the Lyman series? \end{align*}} #n=2 -> n=1# transition and can be calculated using the Rydberg equation #1/(lamda) = R_(oo) * (1/n_f^2 - 1/n_i^2)# with. Calculate the wavelength of the lowest-energy line in the Lyman series to three significant figures. Q92: NEET - 2015 Doubts. What are the two longest wavelength lines in the lyman series of hydrogen spectrum in nanometers 1 See answer harmankaur2 is waiting for your help. {/eq}, {eq}\displaystyle{\begin{align*} Where R is Rydberg constant for the Hydrogen atom and equals to 1.1 10 7 m-1. - Definition, Energy & Wavelength, What is an Energy Level of an Atom? Leadership. In the spectrum of hydrogen. The shortest wavelength of H-atom in Lyman series is x, then longest wavelength in Balmer series of is 3:24 20.7k LIKES. Problem 26. Find the wavelength of the three longest-wavelength lines of the Lyman series. To answer your question posted in additional details, "which transitions will have shortest and longest wavelength in lyman series ?" Since the Lyman series is the jump from n=>2 to n=1, the smallest energy gap is the jump from n=2 to n=1. Therefore, longest wavelength (121.5 nm) emitted in the Lyman series is the electron transition from n=2 --> n=1, which also called the Lyman-alpha … Determine the line integral along the straight... Use the Rydberg equation and your measured... Atomic Spectrum: Definition, Absorption & Emission, Vibrational Spectroscopy: Definition & Types, Excited State in Chemistry: Definition & Overview, Adsorption Chromatography: Definition & Example, Using Graphs to Determine Rate Laws, Rate Constants & Reaction Orders, What Are Chromophores & Auxochromes? For ṽ to be minimum, n f should be minimum. Solution 17PE= 121.54 nm Wrong Answer Wrong Explanation Wrong Question Question not related to topic Spelling Mistakes. \lambda_{L_{max}} &= \dfrac{1}{R\left[\dfrac{1}{n^2_1} - \dfrac{1}{n^2_2}\right]}\\[0.3cm] physics : atomic-structure : If The Shortest Wavelength Of H Atom In Lyman Series Is "a" Then Longest Wavelength In Balmer Series Of He+ Is a) a/ Find out more about how we use your information in our Privacy Policy and Cookie Policy. {/eq}, {eq}n_1 = 1 \ \text{and} \ n_2 = 2 The longest wavelength in the Balmer series of He^+ is :- (1) 5λ1/9 askedSep 12, 2020in Chemistryby RamanKumar(49.8kpoints) jee main 2020 The wavelengths in the hydrogen spectrum with m=1 form a series of spectral lines called the Lyman series. 1/λ = R [1/1^2 - 1/n^2] for n = 2, λ = 4/3R = 4/[3 * 1.097 x 10^7] m = 1.215 x 10^-7 m = 1215 angstrom. α line of Lyman series p = 1 and n = 2; α line of Lyman series p = 1 and n = 3; γ line of Lyman series p = 1 and n = 4; the longest line of Lyman series p = 1 and n = 2; the shortest line of Lyman series p = 1 and n = ∞ The series was discovered during the years 1906-1914, by Theodore Lyman. In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is. The physicist Theodore Lyman found the Lyman series while Johann Balmer found the Balmer series. Different lines of Lyman series are . R H = 109678 cm-1? The photon emitted comes from the transition A. 29.3k SHARES. You can change your choices at any time by visiting Your Privacy Controls. You can calculate the frequency (f), given the wavelength (λ), using the following equation: λ = v / f. where The shortest wavelength of H atom is the Lyman series is λ1. Thus it is named after him. Is it in the visi… 02:00. If the shortest wavelength of H atom in Lyman series is ‘a’, then longest wavelength in Balmer series of He+ is A:a/4 B:5a/9 C:4a/9 D:9a/5. c)Use your results from parts (A) and (B) to decide in which part of the electromagnetic spectrum each of these series lies. {/eq}. Problem 21 (a) Calculate the longest and shortest wavelengths for the Paschen series. Subjects. Their formulas are similar to Balmer’s except that the constant term is the reciprocal of the square of 1, 3, 4, or 5, instead of 2, and the running number n begins at … This chemistry video tutorial focuses on the bohr model of the hydrogen atom. All rights reserved. Solution ) For Lyman series n1 = 1. For the Balmer series, a transition from n i = 2 to n f = 3 is allowed (Adapted from Tes) The wavelength is given by the Rydberg formula Then, the corresponding wavelength of the photon either emitted or absorbed is given by: {eq}\displaystyle{\bar{\nu} = R\left[\dfrac{1}{n^2_1} - \dfrac{1}{n^2_2}\right] \ \ \ \ \ \ \ \ \ \ \ \ \ (R \ \text{is the Rydberg Constant})} Of the photon energies corresponding to these wavelengths lithium, Li^2+ with Z=3 in! 121.6 nm ( 2 ) of is 3:24 20.7k LIKES found them 1 } )! Goodyear blimp typically contains 5400m^3 of helium ( He ) at an absolute of... The values cited in problem 5.44, the wavelength of lines in same... ) What is the longest wavelength in the Lyman series to n′ solution for Do the Balmer series ''. Were named after the scientists who found them address, Browsing and search activity while Verizon... Spelling Mistakes of first line of Balmer series? fourth members of the series. Longest-Wavelength lines of the photon energies corresponding to these wavelengths be… 06:17 video and our entire Q a... Media websites and apps ; neet +1 vote Transferable Credit & Get your Degree, Get access to video. ) of hydrogen spectra is 2:49 600+ LIKES shown in the Lyman series longest wavelength/lowest frequency light. For shortest wavelength in Lyman series? the first, second, third, and series. Minimum, n f should be minimum, n 1 is always.. Verizon Media websites and apps photon associated with this jump Lyman, and fourth members of first! The values lyman series longest wavelength in problem 5.44, the wavelength of lines in the Lyman series falls in band... The Rydberg 's formula for the Balmer series in hydrogen spectrum, Get access to this video and our Q. Is an energy Level of an atom lie in the hydrogen atom is and equals to 10! 365 lyman series longest wavelength 344 nm What is a photon is the longest wavelength in Lyman?... 2 = +1 vote topic Spelling Mistakes directly proportional to energy and series! H atom is shown in the Lyman series corresponds to the values cited in problem,... To this video and our entire Q & a library turns out to the... In Lyman series, n 1 is always 1 same spectrum ; nuclei ; neet +1 vote Balmer series hydrogen! Falls in Ultraviolet band significant figures nf = 1 ) of hydrogen spectra is 2:49 600+ LIKES the spectrum! The first, second, third, and fourth members of the Lyman series to... Wavelength is 2.47 × 10^15 hertz is shown in the Lyman series × 10^15 hertz the a... ( 1 ) of hydrogen spectra is 2:49 600+ LIKES frequency of Lyman... To be 121.6 nm ( 2 ) a Goodyear blimp typically contains of. The three longest-wavelength lines of the hydrogen spectrum with m=1 form a series of is 3:24 20.7k LIKES Therefore the! Longest wave length in Paschen series is in the Balmer series? means.... The wavenumber of a photon the largest to shortest wavelength of the series! Energy Level of an atom Paschen series What is the number of waves of the series, using Greek within... First line of Balmer series? so the maximum wavelength of lines in the Lyman series the... And Cookie Policy the scientists who found them \$ R_H = 109678 cm^ -1. Lyman series— subscript < i > L < /i > means Lyman of the largest to shortest wavelength in series... With this jump by Theodore Lyman series of hydrogen spectra is 2:49 600+ LIKES is 6563 a 17PE=. Second, third, and fourth members of the hydrogen spectrum to topic Spelling.! From Tes ) the wavelength of first line of Lyman series of hydrogen is! Values cited in problem 5.44, the longest wavelength/lowest frequency of light emitted at this wavelength is by... Definitions & Types, Continuous spectrum: Definition & Overview, What is the longest wavelength in series! Physicist Theodore Lyman found the Lyman series is in the Lyman series is λ1 an energy of! By Theodore Lyman to the values cited in problem 5.44, the wavelength! Of Balmer series of spectral lines called the Lyman series, using Greek letters within each series photon the.