Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 39, Problem 43P
To determine
The unknown material.
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3:09 O O O 63° A X •
N N O 5G „ll
Quizzes
a
(absorption)
Brackett
series
Paschen
series
Lyman
series
(emission)
Balmer series
Paschen
series
(emission)
n= 2
n=3
n=4
....
Lyman series
n-5
(a)
(b)
e These pictures refer to the energy levels
of a hydrogen atom.
You can find the error in both parts, (a) and
(b). The arrows labeled "emission" in (a), and
all the arrows in (b), indicate a transition in
which an electron jumps from a higher-
energy state to a lower-energy state. The
different "series" of emission lines are
characterized by the index n of the low-
energy state in which the electron ends up.
In particular, the Lyman series consists of all
transitions that end up in the n=1 energy
level, with an initial energy level that
corresponds to the label n = 2, 3, 4, 5, etc.
One of these values of n is not shown as an
arrow in the Lyman emission series in figures
(a) or (b). This is a significant error because
that particular spectral line is very important
in astronomy.
Pick the value…
(b)
Evaluate the ratio of the de Broglie wavelength of electron to that of
proton when (m₂=9.11 × 10-3¹ kg, mp=1.67 × 10-27 kg)
(i) both have the same kinetic energy.
(ii) The electron kinetic energy is 1000 eV, and the proton kinetic
Chapter 39 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 39.2 - Prob. 1AECh. 39.2 - Prob. 1BECh. 39.3 - Prob. 1CECh. 39.4 - Prob. 1DECh. 39.4 - Prob. 1EECh. 39.5 - Prob. 1FECh. 39.7 - Prob. 1GECh. 39 - Prob. 1QCh. 39 - Prob. 2QCh. 39 - Prob. 3Q
Ch. 39 - Prob. 4QCh. 39 - Prob. 5QCh. 39 - Prob. 6QCh. 39 - Prob. 7QCh. 39 - Prob. 8QCh. 39 - Prob. 9QCh. 39 - Prob. 10QCh. 39 - Prob. 11QCh. 39 - On what factors does the periodicity of the...Ch. 39 - Prob. 13QCh. 39 - Prob. 14QCh. 39 - Prob. 15QCh. 39 - Prob. 16QCh. 39 - Prob. 17QCh. 39 - Prob. 18QCh. 39 - Prob. 19QCh. 39 - Prob. 20QCh. 39 - Prob. 21QCh. 39 - Prob. 22QCh. 39 - Prob. 23QCh. 39 - Prob. 24QCh. 39 - Prob. 25QCh. 39 - Prob. 26QCh. 39 - Prob. 27QCh. 39 - Prob. 28QCh. 39 - Prob. 29QCh. 39 - Prob. 1PCh. 39 - Prob. 2PCh. 39 - Prob. 3PCh. 39 - Prob. 4PCh. 39 - Prob. 5PCh. 39 - Prob. 6PCh. 39 - Prob. 7PCh. 39 - Prob. 8PCh. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11PCh. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 14PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 21PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 28PCh. 39 - Prob. 29PCh. 39 - Prob. 30PCh. 39 - Prob. 31PCh. 39 - Prob. 32PCh. 39 - Prob. 33PCh. 39 - Prob. 34PCh. 39 - Prob. 35PCh. 39 - Prob. 36PCh. 39 - Prob. 37PCh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40PCh. 39 - Prob. 41PCh. 39 - Prob. 42PCh. 39 - Prob. 43PCh. 39 - Prob. 44PCh. 39 - Prob. 45PCh. 39 - Prob. 46PCh. 39 - Prob. 47PCh. 39 - Prob. 48PCh. 39 - Prob. 49PCh. 39 - Prob. 50PCh. 39 - Prob. 51PCh. 39 - Prob. 52PCh. 39 - Prob. 53PCh. 39 - Prob. 54PCh. 39 - Prob. 55PCh. 39 - Prob. 56PCh. 39 - Prob. 57PCh. 39 - Prob. 58PCh. 39 - Prob. 59PCh. 39 - Prob. 60PCh. 39 - Prob. 61GPCh. 39 - Prob. 62GPCh. 39 - Prob. 63GPCh. 39 - Prob. 64GPCh. 39 - Prob. 65GPCh. 39 - Prob. 66GPCh. 39 - Prob. 67GPCh. 39 - Prob. 68GPCh. 39 - Prob. 69GPCh. 39 - Prob. 70GPCh. 39 - Prob. 71GPCh. 39 - Prob. 72GPCh. 39 - Prob. 73GPCh. 39 - Prob. 74GPCh. 39 - Prob. 75GPCh. 39 - Prob. 76GPCh. 39 - Prob. 77GP
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- At what velocity will an electron have a wavelength of 1.00 m?arrow_forward(4) The shortest wavelength of the hydrogen Lyman series is 91.13 mm. Find the three longest wavelengths in this series.arrow_forward4. (a) Calculate the de Broglie wavelength of An electron travelling at 4 x 106 m/s and (i) (ii) A car of mass 1.1 × 106 g travelling at 15 m/s. (b) Comment on the significance of the relative magnitude of your answers in part (a). Note: the diameter of an atom is on the order of 10-10 m.arrow_forward
- the Lyman series of hydrogen is made up of those transitions made from higher level to n=1, If the first line in this series has a wavelength of 122 nm, what is the wavelength of the second line?arrow_forwardPlease asaparrow_forwardIt 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.arrow_forward
- In 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_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(a) The Lyman series in hydrogen is the transition from energy levels n = 2, 3, 4, ... to the ground state n = 1. The energy levels are given by 13.60 eV En n- (i) What is the second longest wavelength in nm of the Lyman series? (ii) What is the series limit of the Lyman series? [1 eV = 1.602 x 1019 J, h = 6.626 × 10-34 J.s, c = 3 × 10° m.s] %3D Two emission lines have wavelengts A and + A2, respectively, where AA <<2. Show that the angular separation A0 in a grating spectrometer is given aproximately by (b) A0 = V(d/m)-2 where d is the grating constant and m is the order at which the lines are observed.arrow_forward
- 12. (a) Find the shortest vacuum-wavelength photon emitted by a downward electron transition in the Lyman series?arrow_forward(I) What is the wavelength of a neutron (m 1.67 x 10-27 kg) traveling at 8.5 × 10ª m/s? ||arrow_forwardb) The Bohr model of the atom postulated electrons orbiting around the nucleus in stable circular orbits. De Broglie explained what orbits could exist by postulating that electrons (and anything else) with momentum p have an associated wavelength X, given by \ = h/p where h is Planck's constant. Then the allowed orbits are those with an integer number n of wavelengths in the circumference of the orbit. For electrons as for planets, the total energy of an orbit is E = -mv2. i) Write down and explain the three key equations that enable the derivation of the Ryd- mee¹ berg constant (1Ry = 2 with n = 1 and Z = 1), defining all the symbols. Show by 8€²n²h² putting the values in that this gives -13.6 eV, -3.40 eV and -1.51 eV for the energies to three significant figures of the first three hydrogen energy levels. ii) Consider the helium ion, He¹+, with one electron orbiting the helium nucleus. Ex- plain what changes from the Bohr model for hydrogen, and find the energies to three significant…arrow_forward
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