Physics for Scientists and Engineers, Books a la Carte Edition
4th Edition
ISBN: 9780321666680
Author: GIANCOLI, Douglas C.
Publisher: Pearson College Div
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Chapter 37, Problem 23Q
To determine
Is it possible for the de Broglie wavelength of a particle to be greater than its dimension.
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If the speed of a proton is measured to be 2.9 × 105 m/s with a precision of 0.70% then what is
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The 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
Avy
percentage of the particle's speed vy
Percentage = × 100 %
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Number
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6).
. Assume that relativistic effects can be
. Is it possible for the de Broglie wavelength of a “particle”to be greater than the dimensions of the particle? To besmaller? Is there any direct connection? Explain.
Chapter 37 Solutions
Physics for Scientists and Engineers, Books a la Carte Edition
Ch. 37.2 - Prob. 1AECh. 37.2 - Prob. 1BECh. 37.4 - Prob. 1CECh. 37.7 - Prob. 1DECh. 37.7 - Prob. 1EECh. 37.11 - Prob. 1FECh. 37 - Prob. 1QCh. 37 - Prob. 2QCh. 37 - Prob. 3QCh. 37 - Prob. 4Q
Ch. 37 - Prob. 5QCh. 37 - Prob. 6QCh. 37 - Prob. 7QCh. 37 - Prob. 8QCh. 37 - Prob. 9QCh. 37 - Prob. 10QCh. 37 - Prob. 11QCh. 37 - Prob. 12QCh. 37 - Prob. 13QCh. 37 - Prob. 14QCh. 37 - Prob. 15QCh. 37 - Prob. 16QCh. 37 - Prob. 17QCh. 37 - Prob. 18QCh. 37 - Prob. 19QCh. 37 - Prob. 20QCh. 37 - Prob. 21QCh. 37 - Prob. 22QCh. 37 - Prob. 23QCh. 37 - Prob. 24QCh. 37 - Prob. 25QCh. 37 - Prob. 26QCh. 37 - Prob. 27QCh. 37 - Prob. 28QCh. 37 - Prob. 1PCh. 37 - Prob. 2PCh. 37 - Prob. 3PCh. 37 - Prob. 4PCh. 37 - Prob. 5PCh. 37 - Prob. 6PCh. 37 - Prob. 7PCh. 37 - Prob. 8PCh. 37 - Prob. 9PCh. 37 - Prob. 10PCh. 37 - Prob. 11PCh. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Prob. 15PCh. 37 - Prob. 16PCh. 37 - Prob. 17PCh. 37 - Prob. 18PCh. 37 - Prob. 19PCh. 37 - Prob. 20PCh. 37 - Prob. 21PCh. 37 - Prob. 22PCh. 37 - Prob. 23PCh. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Prob. 26PCh. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - Prob. 39PCh. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45PCh. 37 - Prob. 46PCh. 37 - Prob. 47PCh. 37 - Prob. 48PCh. 37 - Prob. 49PCh. 37 - Prob. 50PCh. 37 - Prob. 51PCh. 37 - Prob. 52PCh. 37 - Prob. 53PCh. 37 - Prob. 54PCh. 37 - Prob. 55PCh. 37 - Prob. 56PCh. 37 - Prob. 57PCh. 37 - Prob. 58PCh. 37 - Prob. 59PCh. 37 - Prob. 60PCh. 37 - Prob. 61PCh. 37 - Prob. 62PCh. 37 - Prob. 63PCh. 37 - Prob. 64PCh. 37 - Prob. 65PCh. 37 - Prob. 66PCh. 37 - Prob. 67PCh. 37 - Prob. 68PCh. 37 - Prob. 69PCh. 37 - Prob. 70PCh. 37 - Prob. 71PCh. 37 - Prob. 72GPCh. 37 - Prob. 73GPCh. 37 - Prob. 74GPCh. 37 - Prob. 75GPCh. 37 - Prob. 76GPCh. 37 - Prob. 77GPCh. 37 - Prob. 78GPCh. 37 - Prob. 79GPCh. 37 - Prob. 80GPCh. 37 - Prob. 81GPCh. 37 - Prob. 82GPCh. 37 - Prob. 83GPCh. 37 - Prob. 84GPCh. 37 - Prob. 85GPCh. 37 - Prob. 86GPCh. 37 - Prob. 87GPCh. 37 - Prob. 88GPCh. 37 - Prob. 89GPCh. 37 - Prob. 90GPCh. 37 - Prob. 91GPCh. 37 - Prob. 92GPCh. 37 - Prob. 93GPCh. 37 - Show that the wavelength of a particle of mass m...Ch. 37 - Prob. 95GPCh. 37 - Prob. 96GPCh. 37 - Prob. 97GPCh. 37 - Prob. 98GPCh. 37 - Prob. 99GPCh. 37 - Prob. 100GP
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- Is it possible that when we measure the energy of a quantum particle in a box, the measurement may return a smaller value than the ground state energy? What is the highest value of the energy that we can measure for this particle?arrow_forwardCan the de Brogue wavelength of a particle be known exactly?arrow_forwardAt what velocity will an electron have a wavelength of 1.00 m?arrow_forward
- If the uncertainty in the y -component of a proton's position is 2.0 pm, find the minimum uncertainty in the simultaneous measurement of the proton's y -component of velocity. What is the minimum uncertainty in the simultaneous measurement of the proton's x -component of velocity?arrow_forwardCan the magnitude of a wave function (*(x,t)(x,t)) be a negative number? Explain.arrow_forwardShow that if the uncertainty in the position of a particle is on the order of its de Broglie's wavelength, then the uncertainty in its momentum is on the order of the value of its momentum.arrow_forward
- 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?arrow_forwardMy question is how do I solve this: Find the de Broglie wavelength of a 1500kg car when its speed is 80km/h. How significant are the wave properties of this car likely to be?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 Avv Percentage = 6)... . Assume that relativistic effects can be ignored. Uy Number i x 100 % Unitsarrow_forward
- 1) 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➤For the following y, calculate the maximum energy that an electron could obtain due to a Compton scattering and the ratio A^/^. Could any of them be easily observed? ➤ A photon of blue light λ = 480 nm ➤ A photon of energy E = 40 keVarrow_forwardIf you could keep utterly motionless, your de Broglie wavelengthwould be infinite. As soon as you make the slightest motion,however, your wavelength collapses. (a) Estimate the lowest speed youcan perceive. (b) Estimate your wavelength if you moved with that slowestperceptible speed. (c) A grain of sand has a mass of about 0.5 mg.Estimate the wavelength of a grain of sand moving at your slowest perceptiblespeed. (It should be clear that the wave aspects of macroscopicmaterial things are hidden from us by our size.) (d) If nature were to alterher laws so that Planck’s constant became h = 1 J . s, then what wouldbe the wavelength of a grain of sand moving at 1 m/s? (e) Under thesesame circumstances, estimate your own wavelength if you ran at 2.5 m>s.(f) A baseball has a mass of 145 g. Estimate the speed that a baseballwould need to have a perceptible diffraction, meaning a central maximumsubtending 10 , when thrown through a doorway, if h were 1 J . s.arrow_forward
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