Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 39, Problem 31P
To determine
The reason the given situation of diffraction of a student is impossible.
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Why is the following situation impossible? After learning about de Broglie’s hypothesis that material particles of momentum p move as waves with wavelength λ = h/p, an 80-kg student has grown concerned about being diffracted when passing through a doorway of width w = 75 cm. Assume significant diffraction occurs when the width of the diffraction aperture is less than ten times the wavelength of the wave being diffracted. Together with his classmates, the student performs precision experiments and finds that he does indeed experience measurable diffraction.
After learning about de Broglie's hypothesis that material particles of momentum p move as waves with
wavelength = h/p, an 80.0-kg student has grown concerned about being diffracted when passing through a
75.0-cmwide doorway. Assume significant diffraction occurs when the width of the diffraction aperture is
less that 10.0 times the wavelength of the wave being diffracted. (a) Determine the maximum speed at
which the student can pass through the doorway if he is to be significantly diffracted. (b) With that speed,
over what time interval does the student pass through the doorway if it is in a wall 15.0 cm thick? State how
your answer compares with the age of the Universe, which is about 4 x 10¹7 s.
In a photoelectric effect experiment, it is found
that no current flows unless the incident light has
a wavelength shorter than 359 nm nm.
What stopping potential will be needed to halt the
current if light of 225 nm falls on the surface?
Express your answer with the appropriate units.
μA
2.249
V
Vo
=
Chapter 39 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 39.1 - Prob. 39.1QQCh. 39.2 - Prob. 39.2QQCh. 39.2 - Prob. 39.3QQCh. 39.2 - Prob. 39.4QQCh. 39.3 - Prob. 39.5QQCh. 39.5 - Prob. 39.6QQCh. 39.6 - Prob. 39.7QQCh. 39 - Prob. 1PCh. 39 - Prob. 2PCh. 39 - Prob. 3P
Ch. 39 - Prob. 4PCh. 39 - Prob. 5PCh. 39 - Prob. 6PCh. 39 - Prob. 8PCh. 39 - Prob. 9PCh. 39 - Prob. 10PCh. 39 - Prob. 11PCh. 39 - Prob. 12PCh. 39 - Prob. 13PCh. 39 - Prob. 15PCh. 39 - Prob. 16PCh. 39 - Prob. 17PCh. 39 - Prob. 18PCh. 39 - Prob. 19PCh. 39 - Prob. 20PCh. 39 - Prob. 22PCh. 39 - Prob. 23PCh. 39 - Prob. 24PCh. 39 - Prob. 25PCh. 39 - Prob. 26PCh. 39 - Prob. 27PCh. 39 - Prob. 30PCh. 39 - Prob. 31PCh. 39 - Prob. 32PCh. 39 - Prob. 33PCh. 39 - Prob. 35PCh. 39 - Prob. 37PCh. 39 - Prob. 38PCh. 39 - Prob. 39PCh. 39 - Prob. 40APCh. 39 - Prob. 41APCh. 39 - Prob. 43APCh. 39 - Prob. 44APCh. 39 - Prob. 45APCh. 39 - Prob. 46APCh. 39 - Prob. 47CPCh. 39 - Prob. 48CPCh. 39 - Prob. 49CPCh. 39 - Prob. 50CP
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- An electron beam is shot through 2 thin slits with spacing 4.000 x 10-6 m and land on a detector 2.50 m away. The detector is 1.00 cm wide. You observe that the spacing of interference fringes is 8.25 x 10-6 m. (a) What is the wavelength of the electrons? (b) What is the momentum of the electrons? (c) What is the uncertainty in the momentum? (Hint: assume that the uncertainty in position is the width of the detector.)arrow_forwardA simple cubic crystal is cut so that the rows of atoms on its surface are separated by a distance of 0.352 nm. A beam of electrons is accelerated through a potential difference of 175 V and is incident on the surface. If all diffraction orders are possible, at what angles, relative to the crystal surface, would the diffracted beams be observed? me = 9.11 x 10-31 kg. 5.arrow_forwardPART A: A metal surface is illuminated with photons with a frequency f=1.5×10^15 Hz. The stopping potential for electrons photoemitted from the surface is 3.6 V. What is the work function of the metal? Answer= 2.6 eV PART B: A certain metal has a work function ϕ. What is the maximum photon wavelength that will produce photoemission? Express your answer in terms of ϕ,Planck's constant h, and the speed of light c. Answer= λ =hc/ϕ PART C: Electrons emitted from a metal surface with a work function ϕ = 2.8 eV have a corresponding stopping potential of V0 = 3.6 V. If a metal with a work functionϕnew = 2.2 eV is illuminated by the same wavelength of light, what will be the new stopping potential? Express your answer with the appropriate units. *Please answer Part C*arrow_forward
- What is the momentum p1 of a photon if its wavelength is 530 nm? p1 = ? kg·m/s What is the momentum p2 of a photon if its wavelength is 0.0541 nm? p2 = ? kg·m/sarrow_forwardDe Broglie postulated that the relationship ? = h/p is valid for relativistic particles. What is the de Broglie wavelength for a (relativistic) electron having a kinetic energy of 3.31 MeV? answer in marrow_forwardThe rows of atoms on the surface of a crystal are separated by a distance of 0.352 nm. A beam of electrons is accelerated through a potential difference of 175 V and is incident normal to the surface. At what angle relative to the incident beam would the first-order diffracted electron beam be found?arrow_forward
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