The wavelengths of the Lyman series for hydrogen aregiven by1R„(11n = 2, 3, 4, ...H.n2(a) Calculate the wavelengths of the first three lines in thisseries. (b) Identify the region of the electromagnetic spec-trum in which these lines appear.

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Answered: The wavelengths of the Lyman series for…

University Physics Volume 3

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Chapter6: Photons And Matter Waves

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Problem 103P: Do the Balmer series and the Lyman series overlap? Why? Why not? (Hint: calculate the shortest...

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(a) If one subshell of an atom has nine electrons in it, what is the minimum value of (b) What is the spectroscopic notation for this atom, if this subshell is part of the n = 3 shell?
Check Your Understanding If the Stem-Gerlach experiment yielded four distinct bands instead of two, what might be concluded about the spin quantum number of the charged particle?
Do the Balmer series and the Lyman series overlap? Why? Why not? (Hint: calculate the shortest Balmer line and the longest Lyman line.)
Check Your Understanding A sodium atom nukes a transition from the first excited state the wound state, emitting a 589.0-nm photon with energy 2.105 eV. If the lifetime of this excited state is 16108s, what is the uncertainty in energy of this state? What is width of the corresponding line?
The ion Be3+ makes an atomic transition from an n =: 3 state to an n = 2 state, (a) What is the energy of the photon emitted during the transition? (b) What is the wavelength of the photon?
Muonium is a hydrogen-like atom inwhich the electron is replaced with a muon, a fundamental particlewith a charge of -e and a mass equal to 207me. (The muon is sometimes referred to loosely as a “heavy electron.”) (a) What is the Bohrradius of muonium? (b) Will the wavelengths in the Balmer seriesof muonium be greater than, less than, or the same as the wavelengths in the Balmer series of hydrogen? Explain. (c) Calculate thelongest wavelength of the Balmer series in muonium
The Ka x-ray line for any element arises because of atransition between the K shell (n = 1) and the L shell (n = 2).this line (for a molybdenum target)occurring at a single wavelength. With higher resolution, however,the line splits into several wavelength components becausethe L shell does not have a unique energy. (a) How many componentsdoes the Ka line have? (b) Similarly, how many componentsdoes the Kb line have?
When a wide spectrum of light passes through hydrogengas at room temperature, absorption lines are observedthat correspond only to the Lyman series. Why don’t weobserve the other series?
¥ B Which o the following satement i ncorrect - (1) Ky emission has higher wavelength and encrgy than kg (1) First line of Lyman series has. :mgy%(imn energy of first line of Balmer series, both for H-atom, (111 For a free Heatom during emission of photon, momentum of He-atom does not change (IV) If on €™ of energy 1036V is from n= 110~ 2in H-atom| lides of with stationary H-atom then excitation of e~ takes places @ L ) LV (@ 1Lam @ LV
6. In the Bohr model, the radii of the ground and first excited state orbits are ao and 4ao,respectively. For the ground state of hydrogen, calculate the probability of finding theelectron in the interval ao < r < 4ao.7. A person exits a sauna with a body temperature of 307 K and enters a cool room with atemperature of 285 K. If the person has a surface area of 2.15 m2, determine the energy lostper unit time by the person due to radiative cooling.
A photon of 3.53 x 10-28 kg.m/s momentum is emittedfrom a hydrogen atom. To what spectrum series does thisphoton belong, and from what energy level was it ejected?
7.123 One way to estimate the effective charge (Zeff) ofa many-electron atom is to use the equation IE1 =(1312 kJ/mol) (Z2eff/n2), where IE1 is the first ionizationenergy and n is the principal quantum number of theshell in which the electron resides. Use this equation tocalculate the effective nuclear charges of Li, Na, and K.Also calculate Zeff/n for each metal. Comment on yourresults.

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The wavelengths of the Lyman series for hydrogen are given by 1 R„(1 1 n = 2, 3, 4, ... H. n2 (a) Calculate the wavelengths of the first three lines in this series. (b) Identify the region of the electromagnetic spec- trum in which these lines appear.