Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 34, Problem 74P
To determine
To show that the frequency range of the hydrogen spectral line series involving transitions ending at the nth level is
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Compute the intrinsic line-width (Δλ) of the Lyman α line (corresponding to the n=2 to n=1) transition for the Hydrogen atom. You may assume that the electron remains in the excited state for a time of the order of 10^−8s. The line-width may be computed using:ΔE=(hc/λ^2)Δλ
What is the wavelength of the hydrogen Balmer Series photon for m=4 and n=2 using the Rydberg forumla?
You measure a wavelength of 397.1 nm in a spectroscopy experiment. You identify this as a particular transition from the hydrogen Balmer series. Which transition is it?
Chapter 34 Solutions
Essential University Physics (3rd Edition)
Ch. 34.2 - Prob. 34.1GICh. 34.3 - If you replot Fig. 34.7 for a material with a...Ch. 34.3 - Prob. 34.3GICh. 34.4 - Prob. 34.4GICh. 34.5 - Prob. 34.5GICh. 34.6 - Prob. 34.6GICh. 34 - Prob. 1FTDCh. 34 - Prob. 2FTDCh. 34 - Prob. 3FTDCh. 34 - Prob. 4FTD
Ch. 34 - Prob. 5FTDCh. 34 - Prob. 6FTDCh. 34 - Prob. 7FTDCh. 34 - Prob. 8FTDCh. 34 - Prob. 9FTDCh. 34 - Prob. 10FTDCh. 34 - Prob. 11FTDCh. 34 - Prob. 12FTDCh. 34 - Prob. 13FTDCh. 34 - Prob. 14FTDCh. 34 - Prob. 15ECh. 34 - The surface temperature of the star Rigel is 104K....Ch. 34 - Prob. 17ECh. 34 - Prob. 18ECh. 34 - Prob. 19ECh. 34 - Prob. 20ECh. 34 - Prob. 21ECh. 34 - Prob. 22ECh. 34 - Prob. 23ECh. 34 - Prob. 24ECh. 34 - Prob. 25ECh. 34 - Prob. 26ECh. 34 - Prob. 27ECh. 34 - Prob. 28ECh. 34 - Prob. 29ECh. 34 - Prob. 30ECh. 34 - Prob. 31ECh. 34 - Prob. 32ECh. 34 - Prob. 33ECh. 34 - Prob. 34ECh. 34 - Prob. 35ECh. 34 - Prob. 36ECh. 34 - Prob. 37ECh. 34 - Prob. 38PCh. 34 - Prob. 39PCh. 34 - Prob. 40PCh. 34 - Prob. 41PCh. 34 - Prob. 42PCh. 34 - Prob. 43PCh. 34 - Prob. 44PCh. 34 - Prob. 45PCh. 34 - Prob. 46PCh. 34 - Prob. 47PCh. 34 - Prob. 48PCh. 34 - Prob. 49PCh. 34 - Prob. 50PCh. 34 - Prob. 51PCh. 34 - Prob. 52PCh. 34 - Prob. 53PCh. 34 - Prob. 54PCh. 34 - Prob. 55PCh. 34 - Prob. 56PCh. 34 - Prob. 57PCh. 34 - Prob. 58PCh. 34 - Prob. 59PCh. 34 - Prob. 60PCh. 34 - Prob. 61PCh. 34 - Prob. 62PCh. 34 - Prob. 63PCh. 34 - Prob. 64PCh. 34 - Prob. 65PCh. 34 - Prob. 66PCh. 34 - Prob. 67PCh. 34 - Prob. 68PCh. 34 - Prob. 69PCh. 34 - Prob. 70PCh. 34 - Prob. 71PCh. 34 - Prob. 72PCh. 34 - Prob. 73PCh. 34 - Prob. 74PCh. 34 - Prob. 75PCh. 34 - Prob. 76PCh. 34 - Prob. 77PCh. 34 - Prob. 78PCh. 34 - Prob. 79PCh. 34 - Prob. 80PCh. 34 - Prob. 81PCh. 34 - Prob. 82PCh. 34 - Prob. 83PCh. 34 - Prob. 84PPCh. 34 - Prob. 85PPCh. 34 - Prob. 86PPCh. 34 - Prob. 87PP
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- The light observed that is emitted by a hydrogen atom is explained by a simple model of its structure with one proton in its nucleus and an electron bound to it, but only with internal energies of the atom satisfying EH=−RH/n2EH=−RH/n2 where RHRH is the Rydberg constant and nn is an integer such as 1, 2, 3 ... and so on. When a hydrogen atom in an excited state emits light, the photon carries away energy and the atom goes into a lower energy state. Be careful about units. The Rydberg constant in eV is 13.605693009 eV That would be multiplied by the charge on the electron 1.602× 10-19 C to give 2.18× 10-18 J A photon with this energy would have a frequency f such that E=hf. Its wavelength would be λ = c/f = hc/E. Sometimes it is handy to measure the Rydberg constant in units of 1/length for this reason. You may see it given as 109737 cm-1 if you search the web, so be aware that's not joules. The following questions are intended to help you understand the connection between…arrow_forwardIf the wavelength is 237nm, what is the work function (W) of copper in eV?arrow_forwardCompute the change in wavelength of the 2p → 1s photon when a hydrogen atom is placed in a magnetic field of 2.00 T.arrow_forward
- (a) A simplified parabolic E-K diagram for an electron in the conduction band is given in Figure 3. Determine the relative effective mass, m'/m.. given the E – E. = C,k², value of a of 1 nm, Planck constant h = 6.625 × 10-34 J. s, free electron mass m, = 9.11 x 10-31 kg, electric charge q = 1.6 x 10-19 C and 1 eV = 1.6 x 10-19 J. E E = E,+0.32 eV Figure 3arrow_forwardA sodium atom in one of the states labeled “Lowest excited levels” in Fig. remains in that state, on average, for 1.6 * 10-8 s before it makes a transition to the ground state, emitting a photon with wavelength 589.0 nm and energy 2.105 eV. What is the uncertainty in energy of that excited state? What is the wavelength spread of the corresponding spectral line?arrow_forwardA hydrogen atom is 0.53 angstrom in radius. Use the uncertainty principle to estimate the minimum energy an electron can have in this atom. Also find the uncertainty in the velocity of an alpha particle when it is located within 5*10^-8cm.arrow_forward
- (a) What is the wavelength of light for the least energetic photon emitted in the Balmer series of the hydrogen atom spectrum lines? (b) What is the wavelength of the series limit?arrow_forwardThe electron, in a hydrogen atom, is in its second excited state. Calculate the wavelength of the lines in the Lyman series, that can be emitted through the permissible transitions of this electron. (Given the value of Rydberg constant, R = 1.1 × 107 m-1 )arrow_forward5 6 À (x10-² nm) 7 8 9 10 Relative intensity Mo 9 9 12 vith → To 15.2 → To 37.2arrow_forward
- What is the wavelength associated with a photon that will induce a transition of an electron spin from parallel to antiparallel orientation in a magnetic field of magnitude 0.200T? Assume that L=0 .arrow_forwardThe L series of the characteristic x-ray spectrum of tungsten contains wavelengths of 0.1099 nm and 0.1282 nm. The L-shell ionization energy is 11.544 keV. Which x-ray wavelength corresponds to an N → L transition? Determine the ionization energies of the M and N shells: If the incident electrons were accelerated through a 40.00 keV potential difference before striking the target, find the shortest wavelength of the emitted radiation:arrow_forwardGggarrow_forward
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