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Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 38, Problem 14Q
To determine
To rank:
The de Broglie wavelengths of electron in three regions of electric potentials
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16 For three experiments, Fig. 38-25
gives the transmission coefficient T
for electron tunneling through a po-
tential barrier, plotted versus barrier
thickness L. The de Broglie wave-
lengths of the electrons are identical
in the three experiments. The only
difference in the physical setups is
the barrier heights U. Rank the
three experiments according to U,
greatest first.
T:
Figure 38-25 Question 16.
(A) Calculate the de Broglie wavelength for an electron (me = 9.11 × 10-31 kg) moving at 1.00 × 107 m/s.
Calculate the velocities of electrons with de Broglie wavelengths of 1.7×103 nm and 5.0 nm, respectively.
Chapter 38 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
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- The Bohr model for the hydrogen atom posits that the atom's electron can only occupy circular orbits, with the circumference of each orbit containing an integral number of de Broglie wavelengths. Suppose that an electron in a particular hydrogen atom is in the first excited orbit, corresponding to n = 2. (a) What is the radius (in nm) of this electron's orbit around the atom's nucleus (a proton)? nm (b) What is the de Broglie wavelength (in nm) for an electron in this orbit? nmarrow_forwardThe Bohr model for the hydrogen atom posits that the atom's electron can only occupy circular orbits, with the circumference of each orbit containing an integral number of de Broglie wavelengths. Suppose that an electron in a particular hydrogen atom is in the seventh excited orbit, corresponding to n = 8. (a) What is the radius (in nm) of this electron's orbit around the atom's nucleus (a proton)? nm (b) What is the de Broglie wavelength (in nm) for an electron in this orbit? nmarrow_forward| 1+ 19. An electron (mass m) with initial velocity i = voi + voj is in an electric field É = -E,k. If 1o is initial de-Broglie wavelength of electron, its de-Broglie wavelength at time t is given by do a. A = 1+ m2 t? b. A= 1+ t2 m²u λο c. A = 1+ t2 2m² v do d. A = 2+arrow_forward
- How fast does an electron have to go to have the a de Broglie wavelength of 2.56 nm? Please give your answer in m/s.arrow_forwardHow fast must a nonrelativistic electron move so its de Broglie wavelength is the same as the wavelength of a 7.7 eV photon?arrow_forwardFor a free electron, determine the electron's de broglie wavelength, momentum, kinetic energy and speed when k = 50 nm-1.arrow_forward
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