COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 26, Problem 70QAP
To determine
(a)
The maximum number of unique spectral lines that could be measured as the atom relaxes to the lowest ground state.
To determine
(b)
The maximum number of unique spectral lines that could be measured as the atom relaxes to the lowest ground state.
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•22 o Figure 40-23 is an energy-level
diagram for a fictitious infinite potential
E (/8ml*)
well that contains one electron. The num-
12
Non
ber of degenerate states of the levels are
indicated: "non" means nondegenerate
11
Triple
(which includes the ground state of the
electron), "double" means 2 states, and
"triple" means 3 states. We put a total of
Double
Triple
11 electrons in the well. If the electro-
Ground
static forces between the electrons can be
neglected, what multiple of h2/8mL? gives
the energy of the first excited state of the
11-electron system?
Figure 40-23
Problem 22.
b) Choose the best explanation from among the following:I. The de Broglie wavelength in the nth state is 2pr>n, where r isproportional to n2. Therefore, the wavelength increases withincreasing n, and is greater for n = 2 than for n = 1.II. The de Broglie wavelength of an electron in the nth state issuch that n wavelengths fit around the circumference of theorbit. Therefore, l = 2pr>n and the wavelength for n = 2 isless than for n = 1.III. The de Broglie wavelength depends on the mass of the electron, and that is the same regardless of which state of the hydrogen atom the electron occupies
Q) 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.
Chapter 26 Solutions
COLLEGE PHYSICS
Ch. 26 - Prob. 1QAPCh. 26 - Prob. 2QAPCh. 26 - Prob. 3QAPCh. 26 - Prob. 4QAPCh. 26 - Prob. 5QAPCh. 26 - Prob. 6QAPCh. 26 - Prob. 7QAPCh. 26 - Prob. 8QAPCh. 26 - Prob. 9QAPCh. 26 - Prob. 10QAP
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- •19 O Figure 39-28a shows the energy-level diagram for a fi- nite, one-dimensional energy well that contains an electron. The nonquantized region begins at E= 450.0 eV. Figure 39-28b gives the absorption spectrum of the electron when it is in the ground state-it can absorb at the indicated wavelengths: A=14.588 nm and Ag = 4.8437 nm and for any wavelength less than A, = 2.9108 nm. What is the energy of the first excited state? %3D - Nonquantized E4 Es E2 (b) (a) Energyarrow_forward5. (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…arrow_forward•25 Go The two-dimensional, infi- nite corral of Fig. 39-31 is square, with edge length L = 150 pm. A square probe is centered at xy coordinates (0.200L, 0.800L) and has an x width of 5.00 pm and a y width of 5.00 pm. What is the probability of detection if the electron is in the E13 energy state? %3D Probe x- Finure 39-31 Problem 25.arrow_forward
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