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 8Q
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Elaborate the point that electron behaves sometimes like a particle and sometimes like a wave.
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Let's think more about de Broglie's relation.
Macro scale matters have wave nature, i.e., wavelength?
(1) Our (humans) movements also have wavelength?
Calculate wavelength of a human with a speed of 1 m/s.
(2) How about electrons whose mass is extremely light?
Calculate wavelength of an electron with a speed of 1 m/s.
The treatment of electrons in atoms must be a quantum treatment, but classical physics still works for baseballs. Where is the dividing line? Suppose we consider a spherical virus, with a diameter of 30 nm, constrained to exist in a long, narrow cell of length 1.0 μm. If we treat the virus as a particle in a box, what is the lowest energy level? Is a quantum treatment necessary for the motion of the virus?
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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- Richard Feynman, in his book The Character of Physical Law, states: “A philosopher once said, ‘It is necessary for the very existence of science that the same conditions always produce the same results.’ Well, they don’t!” Who was speaking of classical physics, and who was speaking of quantum physics?arrow_forwardI need help with this question. Originally I got 3 degrees for the answer, but it appears that this is incorrect and I don't know what went wrong. Here is the question: 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. Electron speed is 4.63e+05 m/s and the de Broglis wavelength of the electrons is 1.57 nm. What is the angle between the two second-order maxima in the resulting interference pattern. I really appreciate the help!arrow_forwardWhen we model light (EM radiation) as a particle, we call it a photon a packet of energy. How does this work with the model of light as a wave? To think through this, answer the following: If the intensity of a beam of light is related to the number of photons passing per second, how would you explain the intensity of light using the model of light as a wave? What feature (wavelength, frequency, amplitude, oscillation, etc.) can be a measure of intensity and why do you think so? Enter your answer herearrow_forward
- Question 1: It is not possible to observe the effect of De Broglie wave particle duality and Heisenberg uncertainty principle in daily life. But these two phenomenon are observable in case of subatomic particles like electron. Prove this observation with the help of suitable examples and discussion.arrow_forwardWhen an electron and a proton of the same kinetic energy encounter a barrier of the same height and width, which one of them will tunnel through the barrier more easily? Why?arrow_forwardSuppose a wave function is discontinuous at some point. Can this function represent a quantum state of some physical particle? Why? Why not?arrow_forward
- A 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. (a) Are these electrons relativistic? How do you know? (b) Through what potential difference were the electrons accelerated?arrow_forwardWhen an electron trapped in a one-dimensional box transitions from its n= 2 state to its n= 1 state, a photon with a wavelength of 9 nm is emitted. What is the length of the box (in nm)? What If? If electrons in the box also occupied the n= 3 state, what other wavelengths of light (in nm) could possibly be emitted? Enter the shorter wavelength first.arrow_forwardThe electron interference pattern as shown was made by shooting electrons with 50 keV of kinetic energy through two slits spaced 1.0 mm apart. The fringes were recorded on a detector 1.0 m behind the slits.a. What was the speed of the electrons? (The speed is large enough to justify using relativity, but for simplicity do this as a nonrelativistic calculation.)b. Figure is greatly magnified. What was the actual spacing on the detector between adjacent bright fringes?arrow_forward
- Do you think it is reasonable to describe the Schrodinger equation as a postulate of quantum mechanics? What is a postulate?arrow_forwardMark the correct alternative. (A) The uncertainty principle states that there is a limit to the physical measurements we can make and that limit continually changes with technological advances. (B) Distinct free particles can have the same wave function. (C) Any solution of the Schrodinger equation represents the scenario a possible physical scenario. (D) Two electrons can have the 4 same quantum numbers and that's where the maximum that in the world comes out quantum we can find two bodies in the same place and at the same time. (E) Every free electron must move at the speed of light.arrow_forwardYou are working as a demonstration assistant for a physics professor. She wants to demonstrate to her students the buildup of the interference pattern for single electrons passing through a double slit. Her source of electrons will be a certain vacuum tube, in which electrons evaporate from a hot cathode at a slow, steady rate and accelerate from rest through a potential difference of 45.0 V. After being accelerated, they travel through a fieldfree and evacuated region before they pass through the double slits and fall on a screen to produce an interference pattern. To ensure that only one electron at a time is passing through the slits, she wants the electrons to be separated in space by d 5 1.00 cm (perpendicular to the barrier containing the slits) as they approach the slit. She asks you to determine the maximum value for the beam current that will assure that only one electron at a time passes through the slits.arrow_forward
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