College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 28, Problem 6CQ
To determine
The reason for a hypothetical atom should emits a continuous spectrum rather than the observed line spectrum.
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5. (a) By considering the case where an atom is enclosed within a cavity containing black body
radiation at temperature T, show that the Einstein A and B coefficients are related to each
other through the following relationships:
9,B12 = 92B21,
8nhv³
- B21,
A21
where g, and g, are the degeneracies of the two levels respectively. The spectral energy
density of black body radiation is given by
8thv³
u(v)
c exp(hv/kgT) –1
1
where kg is Boltzmann's constant.
(b) Explain why the effective temperature of the laser levels must be negative in order for a
laser to oscillate.
(c) The degeneracies of the upper and lower levels of the 488.0 nm line of the argon ion laser
are 6 and 4, respectively. Deduce the effective temperature of the laser levels when the
population of the upper level is twice that of the lower level.
(d) Describe how population inversion is achieved in a semiconductor laser diode.
(e) A certain semiconductor laser diode has a length of 0.5 mm and has a high reflection
coating…
It is possible that a muon be captured by a proton to form a muonic atom. A muon is identic to an electron, except when your mass, which is m = 105.7 MeV/c^2. What ia the smallest wave length for a Lyman series for this atom? Give your answer in pm.
A hydrogen atom emits a photon when its electron shifts from a higher energy level to a lower one. Suppose that one atom emits a photon whose wavelength equals 656 nm. If the energy levels are defined by the quantum number n (where
n = 1, 2, 3, ),
what were the initial and final values of n?
ni=. ?
nf=. ?
Chapter 28 Solutions
College Physics
Ch. 28.3 - Prob. 28.1QQCh. 28.4 - Prob. 28.2QQCh. 28.5 - Prob. 28.3QQCh. 28 - Prob. 1CQCh. 28 - Prob. 2CQCh. 28 - Prob. 3CQCh. 28 - Prob. 4CQCh. 28 - Prob. 5CQCh. 28 - Prob. 6CQCh. 28 - Prob. 7CQ
Ch. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Prob. 10CQCh. 28 - Prob. 11CQCh. 28 - Prob. 12CQCh. 28 - Prob. 13CQCh. 28 - Prob. 14CQCh. 28 - Prob. 15CQCh. 28 - Prob. 1PCh. 28 - Prob. 2PCh. 28 - Prob. 3PCh. 28 - Prob. 4PCh. 28 - Prob. 5PCh. 28 - Prob. 6PCh. 28 - Prob. 7PCh. 28 - Prob. 8PCh. 28 - Prob. 9PCh. 28 - Prob. 10PCh. 28 - Prob. 11PCh. 28 - Prob. 12PCh. 28 - Prob. 13PCh. 28 - Prob. 14PCh. 28 - Prob. 15PCh. 28 - Prob. 16PCh. 28 - Prob. 17PCh. 28 - Prob. 18PCh. 28 - Prob. 19PCh. 28 - Prob. 20PCh. 28 - Prob. 21PCh. 28 - Prob. 22PCh. 28 - Prob. 23PCh. 28 - Prob. 24PCh. 28 - Prob. 25PCh. 28 - Prob. 26PCh. 28 - Prob. 27PCh. 28 - Prob. 28PCh. 28 - Prob. 29PCh. 28 - Prob. 30PCh. 28 - Prob. 31PCh. 28 - Prob. 32PCh. 28 - Prob. 33PCh. 28 - Prob. 34PCh. 28 - Prob. 35PCh. 28 - Prob. 36PCh. 28 - Prob. 37PCh. 28 - Prob. 38PCh. 28 - Prob. 39PCh. 28 - Prob. 40PCh. 28 - Prob. 41PCh. 28 - Prob. 42PCh. 28 - Prob. 43PCh. 28 - Prob. 44PCh. 28 - Prob. 45PCh. 28 - Prob. 46APCh. 28 - Prob. 47APCh. 28 - Prob. 48APCh. 28 - Prob. 49APCh. 28 - Prob. 50APCh. 28 - Prob. 51APCh. 28 - Prob. 52APCh. 28 - Prob. 53APCh. 28 - Prob. 54AP
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- When a hydrogen atom is in its ground state, what are the shortest and longest wavelengths of the photons it can absorb without being ionized?arrow_forwardSuppose an electron in a hydrogen atom makes a transition from the (n+1) th orbit to the nth orbit. Is the wavelength of the emitted photon longer for larger values of n, or for smaller values of n?arrow_forwardThe Balmer series for hydrogen was discovered before either the Lyman or the Paschen series. Why?arrow_forward
- Do the Balmer series and the Lyman series overlap? Why? Why not? (Hint: calculate the shortest Balmer line and the longest Lyman line.)arrow_forwardWhen the absorption spectrum of hydrogen at room temperature is analyzed, absorption lines for the Lyman series are found, but none are found for the Balmer series. What does this tell us about the energy state of most hydrogen atoms at room temperature?arrow_forwardDo the various spectral lines of the hydrogen atom overlap?arrow_forward
- (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?arrow_forwardWhat is the de Brogue wavelength of a proton whose kinetic energy is 2.0 MeV? 10.0 MeV?arrow_forwardIn hydrogen atom, an electron undergoes transition from 3rd excited state to the first excited state and then to the ground state. Identify the spectral series to which these transitions belong. (ii) Find out the ratio of the wavelengths of the emitted radiations in the two cases.arrow_forward
- Suppose that a hydrogen atom in the ground state absorbs a photon of wavelength 10.3 nm. If the atom is ionized, what will be the ki- netic energy of the electron when it gets far away from its atom of origin? The value of ħ is 1.05457 × 10¬3ª J.s; the speed of light is 2.99799 × 10° m/s; the value of h is 6.62607 × 10¬34 J.s; the Rydberg con- stant for hydrogen is 1.09735 × 10´ m¬'; the Bohr radius is 5.29177 × 10-11 m; and the ground state energy for hydrogen 13.6057 eV. 1 eV = 1.60218 × 10¬19 J. Answer in units of eV. -34arrow_forwardQ) A hydrogen atom emits radiation as a result of an electron transition to a lower energy level. Determine the highest frequency possible due to this transition if the atom emits a series of lines that lie in the visible part of the spectrum. Then, if the electron ends up in n = 1 level, prove that the atom emits a series of lines of wavelength that are not in the visible part of the spectrum.arrow_forwardIt is possible for a muon to be captured by a proton to form a muonic atom. A muon is identical to an electron except for its mass, which is 105.7 MeV/c2. (a) Calculate the radius of the first Bohr orbit of a muonic atom. (b) Calculate the magnitude of the lowest energy state. (c) What is the shortest wavelength in the Lyman series for this atom?arrow_forward
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