Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 5, Problem 7Q
To determine
The influence of the beam of electrons passing through three or more slits on the interference pattern and whether the state of an electron will depend on the number of slits.
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What 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 ASAP
Could 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.
Electrons with an energy of 0.610 eV are incident on a double slit in which the two slits are separated by 60.0 nm.
a) What is the de Broglie wavelength (in nanometers) of these electrons?
b) What is the angle between the two second-order maxima in the resulting interference pattern?
I really appreciate the help on this question. I've been stumped on it.
Chapter 5 Solutions
Modern Physics
Ch. 5.1 - A 0.20-kg ball is thrown upward. How much work is...Ch. 5.5 - Prob. 5ECh. 5 - Prob. 1QCh. 5 - Prob. 2QCh. 5 - Prob. 3QCh. 5 - Prob. 4QCh. 5 - Prob. 5QCh. 5 - Prob. 7QCh. 5 - Prob. 8QCh. 5 - Prob. 9Q
Ch. 5 - Prob. 10QCh. 5 - Prob. 11QCh. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Show that the group velocity for a nonrelativistic...Ch. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37P
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- a) In a double-slit experiment, a stream of electrons with speed v = 10 m/s is aimed at two parallel slits. On the screen one meter behind the slits an interference pattern is observed in the number of electrons arriving at different points on the screen. The distance between the first and the second intensity maxima is 1 cm. Find the distance between the slits.arrow_forwardA linear particle accelerator using beta particles collides electrons with their anti-matter counterparts, positrons. The accelerated electron hits the stationary positron with a velocity of 77 x 10° m/s, causing the two particles to annihilate. If two gamma photons are created as a result, calculate the energy of each of these two photons, giving your answer in MeV (mega electron volts), accurate to 1 decimal place. Take the mass of the electron to be 5.486 x 104 u, or 9.109 x 1031 kg. Note: Assume that the kinetic energy is also converted into the gamma rays, and is included in the two photons.arrow_forwardDetermine the de Broglie wavelength for i. an electron (mass = 9.1 x 10-31 kg) moving at a speed of 6.0 × 10 m/s and ii. a baseball (mass = 0.15 kg) moving at a speed of 13 m/s. iii. Can you explain why does the baseball not show any diffraction pattern if it passes through the window of width ~ 1m?arrow_forward
- (a) Calculate the velocity of electrons that form the same pattern as 450-nm light when passed through a double slit.(b) Calculate the kinetic energy of each and compare them.(c) Would either be easier to generate than the other?Explain.arrow_forwardThe 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 placesarrow_forward1) A laser has divergence of 1 milli radians . What is the spatial spread for every meter ? The answer is 1 mm . Please explain how the answer is got 2) You are given a light source of coherence length 3 m . It is split into 2 rays such that the path difference between them is 4 m . Can you form a stable interference ? The answer is No . I just want the reasoning to the answer .arrow_forward
- Suppose a two-slit interference experiment is carried out using an electron beam. Would the same interference pattern result if one slit at a time is uncovered instead of both at once? If not, why not? Doesn’t each electron go through one slit or the other? Or does every electron go through both slits? Discuss the latter possibility in light of the principle of complementarityarrow_forwardLearning Goal: To understand how to find the wavelength and diffraction patterns of electrons. An electron beam is incident on a single slit of width a. The electron beam was generated using a potential difference of magnitude V. After passing through the slit, the diffracted electrons are collected on a screen that is a distance L away from the slit. Assume that V is small enough so that the electrons are nonrelativistic. Ultimately, you will find the width of the central maximum for the diffraction pattern. Part A In any diffraction problem, the wavelength of the waves is important. To find the wavelength of electrons, you can use the de Broglie relation λ =, but you first must find the momentum of one of the electrons. The electrons are accelerated through a potential difference V. Use this information to find the momentum p of the electrons. Express your answer in terms of the mass of an electron me, the magnitude of the charge on an electron e, and V. ► View Available Hint(s) p=…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
- A 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_forwardConsider electrons incident on a double slit apparatus. You observe that they form the same pattern as 460-nm light on the screen behind the slits. a) Calculate the velocity, in m/s, of the electrons. b) Calculate the kinetic energy, in Joules, of the electron.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
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