3.4k SHARES. Download the PDF Question Papers Free for off line practice and view the Solutions online. Nov 09,2020 - If the wavelength of the first line of Lyman series of hydrogen is 1215 Å. the wavelength of the second line of the series isa)911Åb)1025Åc)1097Åd)1008ÅCorrect answer is option 'B'. The first line in Lyman series has wavelength λ. Can you explain this answer? Atoms. | EduRev GATE Question is disucussed on EduRev Study Group by 133 GATE Students. Lyman series is obtained when an electron jumps from n>1 to n = 1 energy level of hydrogen atom. Let v 1 be the frequency of series limit of Lyman series, v 2 the frequency of the first line of Lyman series, and v 3 the frequency of series limit of Balmer series. The wavelength of the first line in Balmer series is . As En = - 13.6n3 eVAt ground level (n = 1), E1 = - 13.612 = - 13.6 eVAt first excited state (n= 2), E2 = - 13.622 = - 3.4 eVAs hv = E2 - E1 = - 3.4 + 13.6 = 10.2 eV = 1.6 × 10-19 × 10.2 = 1.63 × 10-18 JAlso, c = vλSo λ = cv = chE2 - E1 = (3 x 108) x (6.63 x 10-34)1.63 x 10-18 = 1.22 × 10-7 m ≈ 122 nm Explanation: No explanation available. Maximum wave length corresponds to minimum frequency i.e., n 1 = 1, n 2 = 2. Doubtnut is better on App. The first line in each series is the transition from the next lowest number in the series to the lowest (so in the Lyman series the first line would be from n=2 to n=1) and the second line would be from from the third lowest to the lowest (in Lyman it would be n=3 to n=1) etc etc. Class 10 Class 12. 3. First line is Lyman Series, where n 1 = 1, n 2 = 2. Then which of the following is correct? Calculate the wavelength of the first line in the Lyman series and show that… 02:05. a. Options (a) 1215.4Å (b) 2500Å (c) 7500Å (d) 600Å. The photon liberated a photoelectron from a stationary H atom in ground state. Solution for The first line of the Lyman series of the hydrogen atom emission results from a transition from the n = 2 level to the n = 1 level. Ans: (a) Sol: Series Limit means Shortest possible wavelength . 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. And this initial energy level has to be higher than this one in order to have a transition down to it and so the first line is gonna have an initial equal to 2. Assuming f to be frequency of first line in Balmer series, the frequency of the immediate next( ie, second) line is a) 0.50 / b)1.35 / c)2.05 / d)2.70 / Further, you can put the value of Rh to get the numerical values Currently only available for. Lines are named sequentially starting from the longest wavelength/lowest frequency of the series, using Greek letters within each series. Be the first to write the explanation for this question by commenting below. The atomic number `Z` of hydrogen-like ion is. Textbook solution for Modern Physics 3rd Edition Raymond A. Serway Chapter 4 Problem 12P. The wavelength of first line of lyman series i.e the electron will jump from n=1 to n=2. The Lyman series of the Hydrogen Spectral Emissions is the first level where n' = 1. OR. The Lyman series means that the final energy level is 1 which is the minimum energy level, the ground state, in other words. As per formula , 1/wavelength = Rh ( 1/n1^2 —1/n2^2) , and E=hc/wavelength , for energy to be max , 1/wavelength must max . n 2 is the level being jumped from. A stationary ion emitted a photon corresponding to a first line of the Lyman series. Option A is correct. The rest of the lines of the spectrum (all in the ultraviolet) were discovered by Lyman from 1906-1914. R = Rydberg constant = 1.097 × 10 +7 m. n 1 = 1 n 2 = 2. Energy, ΔE=13.6( n 1 2 1 − n 2 2 1 ) eV For the first line of Lyman series: n 1 =1, n 2 =2 ΔE=13.6( 1 2 1 − 2 2 1 ) eV=10.2 eV and energy decreases as we move on to the next series. What is the… The wavelength of the second line of the same series will be. So , for max value of 1/wavelength , first line of Lyman series , that is n1=1 and n2=infinity . What is Lyman Series? Create. 712.2 Å. 2. … Add to playlist. We have step-by-step solutions for your textbooks written by Bartleby experts! If the interaction between radiation and the electron is V = eE:r = e(Ecx + Eyy + E,z), which (n, €, m) states mix with the state (1,0,0) to give this absorption line, called Lyman a? The wavelengths of the Lyman series for hydrogen are given by $$\frac{1}{\lambda}=R_{\mathrm{H}}\left(1-\frac{1}{n^{2}}\right) \qquad n=2,3,4, \ldots$$ (a) Calculate the wavelengths of the first three lines in this series. The four other spectral line series, in addition to the Balmer series, are named after their discoverers, Theodore Lyman, A.H. Pfund, and F.S. Find the ratio of series limit wavelength of Balmer series to wavelength of first time line of paschen series. The Lyman series lies in the ultraviolet, whereas the Paschen, Brackett, and Pfund series … The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series for a hydrogen-like ion. The wavelength of the first line of Lyman series of hydrogen is 1216 A. Related Questions: This formula gives a wavelength of lines in the Lyman series of the hydrogen spectrum. 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 = ∞ Share Question. 812.2 Å . The wavelength of the first line of Lyman series for 20 times ionized sodium atom will be added 0.1 A˚ 3.6k SHARES. The atomic number ‘Z’ of hydrogen like ion is _____ (a) v 1 – v 2 = v 3 (b) v 2 – v 1 = v 3 (c) v 3 = ½ (v 1 + v 2) (d) v 2 + v 1 = v 3. 1:25 16.5k LIKES. (b) Identify the region of the electromagnetic spectrum in which these lines appear. 911.2 Å. Q. Calculate the wavelength corresponding to series limit of Lyman series. The spectral lines are grouped into series according to n′. Options (a) 2/9 λ (b) 9/2 λ (c) 5/27 λ (d) 27/5 λ. Calculate the wavelengths of the first four members of the Lyman series i… Add To Playlist Add to Existing Playlist. 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. Rutherfords experiment on scattering of particles showed for the first time that the atom has (a) electrons (b) protons (c) nucleus (d) neutrons Wave length λ = 0.8227 × 10 7 = 8.227 × 10 6 m-1 Different lines of Lyman series are . Paiye sabhi sawalon ka Video solution sirf photo khinch kar. are solved by group of students and teacher of JEE, which is also the largest student community of JEE. asked Dec 23, … Create a New Plyalist. 1. New questions in Chemistry. For example, in the Lyman series, n 1 is always 1. Copy Link. The wavelength of first line of Lyman series will be . 3.4k VIEWS. Be the first to write the explanation for this question by commenting below. The first line in the spectrum of the Lyman series was discovered in 1906 by Harvard physicist Theodore Lyman, who was studying the ultraviolet spectrum of electrically excited hydrogen gas. The wavelength of the first line of Lyman series for hydrogen atom is equal to that of the second line of Balmer series tor a hydrogen like ion. The wavelength of first line of Lyman series will be 5:26 42.9k LIKES. 6.8 The first line in the Lyman series for the H atom corresponds to the n = 1 → n = 2 transition. Calculate the wavelength of the lowest-energy line in the Lyman series to three significant figures. And, this energy level is the lowest energy level of the hydrogen atom. The wavelengths in the hydrogen spectrum with m=1 form a series of spectral lines called the Lyman series. For example, the 2 → 1 line is called "Lyman-alpha" (Ly-α), while the 7 → 3 line is called "Paschen-delta” (Pa-δ). If $\upsilon_{1}$ is the frequency of the series limit of Lyman series, $\upsilon_{2}$ is the frequency of the first line of Lyman series and $\upsilon_{3}$ is the frequency of the series limit of the Balmer series… Brackett of the United States and Friedrich Paschen of Germany. 3.6k VIEWS. What is the velocity of photoelectron? OR. The Questions and Answers of The wavelength of the first line of lyman series of hydrogen is identical to that of second line of balmer series for same hydrogen like ion 'X'. Related Questions: 678.4 Å The wavelength of the first line of Lyman series of hydrogen atom is equal to that of the second line of Balmer series of a hydrogen like ion . Example \(\PageIndex{1}\): The Lyman Series. Zigya App. Lyman series is a hydrogen spectral line series that forms when an excited electron comes to the n=1 energy level. Correct Answer: 27/5 λ. The formation of this line series is due to the ultraviolet emission lines of … The wavelength of the first line of Lyman series in hydrogen atom is 1216. 1. Explanation: No explanation available. The wavelength of first line of Balmer series is 6563Å. The IE2 for X is? The first line in the Lyman series in the spectrum of hydrogen atom occurs at a wavelength of 1215 Å and the limit for Balmer series is 3645 Å. Correct Answer: 1215.4Å. Where, = Wavelength of radiation = Rydberg's Constant = Higher energy level = 2 = Lower energy level = 1 (Lyman series) Putting the values, in above equation, we get Thus . It is the transitions from higher electron orbitals to this level that release photons in the UltraViolet band of the ElectroMagnetic Spectrum. 17. 4. From a stationary H atom in ground state } \ ): the Lyman series 3rd Raymond. 1215.4Å ( b ) 9/2 λ ( b ) 9/2 λ ( d ) 600Å second line of series! Number ` Z ` of hydrogen-like ion is three significant figures always 2, because are! 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