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
To determine
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.
In a demonstration of the double slit experiment, a high velocity stream of dense spheres is fired at a slit , and another stream is fired at an adjacent identical slit. For each stream, all spheres pass straight through the slit, then hit the same location on a screen. Next, two streams of
electrons are fired at two slits next to one another. On a screen beyond the slits, a diffraction pattern is formed. Which situation does classical mechanics explain, and which situation does quantum mechanics explain?
Spheres
Electrons
A
Classical mechanics
Classical mechanics
Spheres
Electrons
в
Classical mechanics
Quantum mechanics
Spheres
Electrons
Quantum mechanics
Classical mechanics
Spheres
Electrons
D
Quantum mechanics
Quantum mechanics
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_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_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_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_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_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_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_forwardCould someone explain to me in detail why bringing a crystal substance to absolute zero isn't possible? I know it's not because of quantum mechanics and uncertainty like some people say, because particals at their lowest zero-point will have a temperature of exactly 0 K, even though they're still experiencing motion. From what I've gathered, the energy or time required to pull it off is infinite, but I can't find any equations or clear explanations as to why or how that is. And I also don't know if there's any other reasons beyond that. If you could give me a thourough a breakdown for how absolute zero is impossible as you possibly could, I'd greatly appreciate it. Take as much extra time as you need. As long as it's detailed and correct I'm happy. Though ideally I would before it come in before the end of the day.arrow_forward
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