Tutorials in Introductory Physics
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ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 14.1, Problem 2aT
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The better model to see the same behavior of electron.
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The width of the central bright fringe in a diffraction pattern on a screen is identical when either electrons or optical light pass through a single slit. The distance between the screen and the slit is the same in each case and is large compared to the slit width. If the wavelength of the optical light is 552 nm, how fast are the electrons moving?Give your answer in units of m/s, accurate to 2 decimal places
Chapter 14 Solutions
Tutorials in Introductory Physics
Ch. 14.1 - In the magnified view of the slits, an arrow is...Ch. 14.1 - For what values of the path length difference...Ch. 14.1 - Suppose that a single change were made to the...Ch. 14.1 - Prob. 2aTCh. 14.1 - Prob. 2bTCh. 14.1 - Prob. 2cTCh. 14.1 - Use trigonometry to show that the path length...Ch. 14.1 - Prob. 3bTCh. 14.2 - How does the voltmeter reading compare to the...Ch. 14.2 - Prob. 1bT
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- The width of the central bright fringe in a diffraction pattern on a screen is identical when either electrons or optical light pass through a single slit. The distance between the screen and the slit is the same in each case and is large compared to the slit width. If the wavelength of the optical light is 589 nm, how fast are the electrons moving? Give your answer in units of m/s, accurate to 2 decimal places.arrow_forwardCould an experiment involving electron diffraction be conducted with three or four slits? Employing a grating with several slits? What type of outcomes might you anticipate with a grating? Would this violate the uncertainty principle? Explain.arrow_forwardA beam of light or electrons passes through two closely spaced slits to create an interference pattern consisting of fringes. Which of the following statements is true about the relationship between the properties of the beam and the spacing of the interference fringes. a)When the light become more red, the interference fringes become spaced closer together. b)When the light become more blue, the interference fringes become spaced closer together. c)When the energy of the electrons decreases, the interference fringes become spaced closer together. d)When the light become more blue, the interference fringes become spaced further apart.arrow_forward
- Does a photon have a de Broglie wavelength? If so, how is it related to the wavelength of the associated electromagnetic wave? Explain.arrow_forwardWhat can be concluded from the diffraction pattern generated by a single electron fired in the double slit experiment? Pairs of electrons are needed to generate an interference pattern. Electrons are smaller than photons. Electrons can act like macroscopic particles. Single electrons interfere with themselves. Please answer ASAParrow_forwardWhat are the energy and momentum of a photon of red light of wavelength 620 nanometers (nm)? What is the wavelength (in nm) of photons of energy 2.40 eV?arrow_forward
- Given wave y = (10 V/m)sin[(5π*106)x−(1.5π*1015)t], calculate for a.) frequency b.) maximum amplitude c.) speed d.) wavelengtharrow_forwardc) How about the 2rd excited state (3) to the ground state (1)? What wavelength and what color? d) Lastly, from the 1st excited state (2) to the ground state (1), what wavelength and what color?arrow_forwardA beam of electrons is accelerated from rest and then passes through a pair of identical thin slits that are 1.25 nm apart. You observe that the first double-slit interference dark fringe occurs at +_18.0° from the original direction of the beam when viewed on a distant screen. Are these electrons relativistic? How do you know?arrow_forward
- X rays with a wavelength of 0.15 nm undergo first- order diffraction from a crystal at a 64° angle of incidence. ▾ Part A What is the angle of second-order diffraction? Express your answer using two significant figures. 02 = ΜΕ ΑΣΦ Submit Request Answer ?arrow_forwardA crystal has regularly spaced atoms that can act like a diffraction grating (which has many evenly spaced slits). Diffraction patterns form when the wavelength of a photon is similar in size to the spacing between atoms. Consider a crystal where the atomic spacing is 0.23 nm, and a photon of wavelength equal to this spacing. What part of the electromagnetic spectrum is such a photon? O infrared Ovisible light O ultraviolet Ox-ray gamma ray What is the momentum of this photon? Pph = kg-m/s Note that you will need to use exponential notation for your answer. Express it using "E": 1.23 x1024 is entered as 1.23E24. Particles such as electrons can act like waves just as photons do. In fact, they can be diffracted in just the same way by a crystal. What momentum would an electron have if its wavelength equals that of the photon (per the previous answer)? kg-m/s (Use exponential notation as above) What is the velocity that such an electron would have? For reference, the electron mass is 9.11…arrow_forward▾ Part A Through what potential difference must an electron be accelerated from rest to have a de Broglie wavelength of 600 nm ? Express your answer in volts. VAΣ ΜΕ ΑΣΦ ? V = Submit Request Answer Provide Feedback Varrow_forward
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