An Introduction to Physical Science
14th Edition
ISBN: 9781305079137
Author: James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher: Cengage Learning
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Chapter 9, Problem 5AYK
To determine
Why Heisenberg’s uncertainty principle wouldn’t pose a problem for police officers using radar to determine a car’s speed.
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The Stanford Linear Accelerator accelerated electrons to an energy of 50 GeV. What is the de Broglie wavelength of these electrons? What fraction of a proton’s diameter (d ≈ 2 x 10-15 m) can such a particle probe?
When the police use a radar gun to measure a car's speed, photons are fired at the car. The photons hit the car and bounce back to the radar gun. If you got a speeding ticket, could you use Heisenberg's uncertainty principle in your defence? Explain briefly.
.5. Imagine a universe in which you have a de Broglie wavelength of 1 meter. In your everyday
life, you would then be susceptible to experience considerable wave-like phenomena, such as
diffraction and interference. Estimate the speed you would need to have in order to acquire
this wavelength. Also, compute how long it would take you to move through 0.8 meter (i.e.,
about one step) with this speed.
Chapter 9 Solutions
An Introduction to Physical Science
Ch. 9.1 - Prob. 1PQCh. 9.1 - Prob. 2PQCh. 9.2 - Prob. 1PQCh. 9.2 - Prob. 2PQCh. 9.2 - Prob. 9.1CECh. 9.3 - Prob. 1PQCh. 9.3 - When does a hydrogen atom emit or absorb radiant...Ch. 9.3 - Prob. 9.2CECh. 9.3 - Prob. 9.3CECh. 9.3 - Prob. 9.4CE
Ch. 9.4 - Prob. 1PQCh. 9.4 - Prob. 2PQCh. 9.5 - Prob. 1PQCh. 9.5 - Prob. 2PQCh. 9.6 - Prob. 1PQCh. 9.6 - Prob. 2PQCh. 9.6 - Prob. 9.5CECh. 9.7 - Prob. 1PQCh. 9.7 - Prob. 2PQCh. 9 - Prob. AMCh. 9 - Prob. BMCh. 9 - Prob. CMCh. 9 - Prob. DMCh. 9 - Prob. EMCh. 9 - Prob. FMCh. 9 - Prob. GMCh. 9 - Prob. HMCh. 9 - Prob. IMCh. 9 - Prob. JMCh. 9 - Prob. KMCh. 9 - Prob. LMCh. 9 - Prob. MMCh. 9 - Prob. NMCh. 9 - Prob. OMCh. 9 - Prob. PMCh. 9 - Prob. QMCh. 9 - Prob. 1MCCh. 9 - Prob. 2MCCh. 9 - Prob. 3MCCh. 9 - Prob. 4MCCh. 9 - Prob. 5MCCh. 9 - Prob. 6MCCh. 9 - Prob. 7MCCh. 9 - Prob. 8MCCh. 9 - Prob. 9MCCh. 9 - Prob. 10MCCh. 9 - Prob. 11MCCh. 9 - Prob. 12MCCh. 9 - Prob. 13MCCh. 9 - Prob. 14MCCh. 9 - Prob. 1FIBCh. 9 - Prob. 2FIBCh. 9 - Prob. 3FIBCh. 9 - Prob. 4FIBCh. 9 - Prob. 5FIBCh. 9 - Prob. 6FIBCh. 9 - Prob. 7FIBCh. 9 - Prob. 8FIBCh. 9 - Prob. 9FIBCh. 9 - Prob. 10FIBCh. 9 - Prob. 11FIBCh. 9 - Prob. 12FIBCh. 9 - Prob. 1SACh. 9 - Prob. 2SACh. 9 - Prob. 3SACh. 9 - Prob. 4SACh. 9 - Prob. 5SACh. 9 - Prob. 6SACh. 9 - Prob. 7SACh. 9 - Prob. 8SACh. 9 - Prob. 9SACh. 9 - Prob. 10SACh. 9 - Prob. 11SACh. 9 - Prob. 12SACh. 9 - Prob. 13SACh. 9 - Prob. 14SACh. 9 - Prob. 15SACh. 9 - Prob. 16SACh. 9 - Prob. 17SACh. 9 - Prob. 18SACh. 9 - Prob. 19SACh. 9 - Prob. 20SACh. 9 - Prob. 21SACh. 9 - Prob. 22SACh. 9 - Prob. 23SACh. 9 - Prob. 24SACh. 9 - Prob. 25SACh. 9 - Prob. 26SACh. 9 - Prob. 27SACh. 9 - Prob. 28SACh. 9 - Prob. 29SACh. 9 - Prob. 30SACh. 9 - Prob. 31SACh. 9 - Prob. 32SACh. 9 - Prob. 33SACh. 9 - Prob. 34SACh. 9 - Visualize the connection for the descriptions of...Ch. 9 - Prob. 1AYKCh. 9 - Prob. 2AYKCh. 9 - Prob. 3AYKCh. 9 - Prob. 4AYKCh. 9 - Prob. 5AYKCh. 9 - Prob. 1ECh. 9 - Prob. 2ECh. 9 - Prob. 3ECh. 9 - Prob. 4ECh. 9 - Prob. 5ECh. 9 - Prob. 6ECh. 9 - Prob. 7ECh. 9 - Prob. 8ECh. 9 - Prob. 9ECh. 9 - Prob. 10ECh. 9 - Prob. 11ECh. 9 - Prob. 12E
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- Can the de Broglie wavelength of a particle be known precisely? Can the position of a particle be known precisely?arrow_forwardDoes the Heisenberg uncertainty principle allow a particle to be at rest in a designated region in space?arrow_forwardWhen the uncertainty principle is considered, it is not possible to locate a photon in space more precisely than about one wavelength. Consider a photon with wavelength 1 um. What is the uncertainty in the photon's momentum?arrow_forward
- The de Broglie relation applies to all "particles," not just electrons and photons. Estimate the wavelength of a pitched baseball. (Use any reasonable values for the mass and speed.) Explain why you don't see baseballs diffracting around bats.arrow_forwardThe minimum uncertainty Ay in the position y of a particle is equal to its de Broglie wavelength. Determine the minimum uncertainty in the speed of the particle, where this minimum uncertainty Avy is expressed as a percentage of the particle's speed vy Percentage = Avy Vy x 100 % Assume that relativistic effects can be ignored. Number i Unitsarrow_forwardIf the speed of a proton is measured to be 2.9 × 105 m/s with a precision of 0.70% then what is the maximum precision with which its position could be measured, Ax? How does this uncertainty compare to the size of the proton?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_forwardA spherical virus has a diameter of 50 nm. It is contained inside a long, narrow cell of length 1 x 10-4 m. What uncertainty does this imply for the velocity of the virus along the length of the cell? Assume the virus has a density equal to that of water.arrow_forward1) If you can measure the position of a particle with a precision of gx-1(2n), where λ is the DsBroglic wavelength of the particle, then: a) What is the minimum uncertainty for gp, in terms of the particle's momentum p? b) Would you be surprised if you measured the momentum to be zero? c) Would you be surprised if you measured the momentum to be 2p? d) What is the minimum value gx, in terms of so that g-p?arrow_forward
- Question 1 A rectangular object has length l=32.9±0.4, width w=23.8±0.2. What is the absolute uncertainties in length? Your Answer: Answer units Question 2 A rectangular object has length l=25.9±0.2, width w=18.2±0.4. What is the absolute uncertainties in width? Your Answer: Answer unitsarrow_forwardUse de Broglie wavelength of a relativistic particle, compute the wavelength of a 1 MeV electron.arrow_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_forward
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