Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 40.2, Problem 40.4QQ
To determine
The graph of
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Imagine an alternate universe where the value of the Planck constant is 6.62607 x 10 "J-s.
In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which
objects would act like everyday objects, and be adequately described by classical mechanics?
object
quantum or classical?
classical
A raindrop with a mass of 2.0 mg, 6.7 mm wide, moving
at 6.9 m/s.
O quantum
O classical
A turtle with a mass of 530. g, 27. cm long, moving at 2.2
cm/s.
O quantum
O classical
A buckyball with a mass of 1.2 x 1021 g, 0.7 nm wide,
moving at 38. m/s.
O quantum
O classical
A human with a mass of 86. kg, 2.5 m high, moving at
3.0 m/s.
O quantum
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?
In a supercollider at CERN, protons can be accelerated to velocities of 0.75c. What are their de Broglie wavelengths at this speed?
Chapter 40 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 40.1 - Prob. 40.1QQCh. 40.2 - Prob. 40.2QQCh. 40.2 - Prob. 40.3QQCh. 40.2 - Prob. 40.4QQCh. 40.3 - Prob. 40.5QQCh. 40.5 - Prob. 40.6QQCh. 40.6 - Prob. 40.7QQCh. 40 - Prob. 1OQCh. 40 - Prob. 2OQCh. 40 - Prob. 3OQ
Ch. 40 - Prob. 4OQCh. 40 - Prob. 5OQCh. 40 - Prob. 6OQCh. 40 - Prob. 7OQCh. 40 - Prob. 8OQCh. 40 - Prob. 9OQCh. 40 - Prob. 10OQCh. 40 - Prob. 11OQCh. 40 - Prob. 12OQCh. 40 - Prob. 13OQCh. 40 - Prob. 14OQCh. 40 - Prob. 1CQCh. 40 - Prob. 2CQCh. 40 - Prob. 3CQCh. 40 - Prob. 4CQCh. 40 - Prob. 5CQCh. 40 - Prob. 6CQCh. 40 - Prob. 7CQCh. 40 - Prob. 8CQCh. 40 - Prob. 9CQCh. 40 - Prob. 10CQCh. 40 - Prob. 11CQCh. 40 - Prob. 12CQCh. 40 - Prob. 13CQCh. 40 - Prob. 14CQCh. 40 - Prob. 15CQCh. 40 - Prob. 16CQCh. 40 - Prob. 17CQCh. 40 - The temperature of an electric heating element is...Ch. 40 - Prob. 2PCh. 40 - Prob. 3PCh. 40 - Prob. 4PCh. 40 - Prob. 5PCh. 40 - Prob. 6PCh. 40 - Prob. 7PCh. 40 - Prob. 8PCh. 40 - Prob. 9PCh. 40 - Prob. 10PCh. 40 - Prob. 11PCh. 40 - Prob. 12PCh. 40 - Prob. 14PCh. 40 - Prob. 15PCh. 40 - Prob. 16PCh. 40 - Prob. 17PCh. 40 - Prob. 18PCh. 40 - Prob. 19PCh. 40 - Prob. 20PCh. 40 - Prob. 21PCh. 40 - Prob. 22PCh. 40 - Prob. 23PCh. 40 - Prob. 25PCh. 40 - Prob. 26PCh. 40 - Prob. 27PCh. 40 - Prob. 28PCh. 40 - Prob. 29PCh. 40 - Prob. 30PCh. 40 - Prob. 31PCh. 40 - Prob. 32PCh. 40 - Prob. 33PCh. 40 - Prob. 34PCh. 40 - Prob. 36PCh. 40 - Prob. 37PCh. 40 - Prob. 38PCh. 40 - Prob. 39PCh. 40 - Prob. 40PCh. 40 - Prob. 41PCh. 40 - Prob. 42PCh. 40 - Prob. 43PCh. 40 - Prob. 45PCh. 40 - Prob. 46PCh. 40 - Prob. 47PCh. 40 - Prob. 48PCh. 40 - Prob. 49PCh. 40 - Prob. 50PCh. 40 - Prob. 51PCh. 40 - Prob. 52PCh. 40 - Prob. 53PCh. 40 - Prob. 54PCh. 40 - Prob. 55PCh. 40 - Prob. 56PCh. 40 - Prob. 57PCh. 40 - Prob. 58PCh. 40 - Prob. 59PCh. 40 - Prob. 60APCh. 40 - Prob. 61APCh. 40 - Prob. 62APCh. 40 - Prob. 63APCh. 40 - Prob. 64APCh. 40 - Prob. 65APCh. 40 - Prob. 66APCh. 40 - Prob. 67APCh. 40 - Prob. 68APCh. 40 - Prob. 69APCh. 40 - Prob. 70APCh. 40 - Prob. 71APCh. 40 - Prob. 72CPCh. 40 - Prob. 73CPCh. 40 - Prob. 74CPCh. 40 - Prob. 75CPCh. 40 - Prob. 76CP
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Similar questions
- Imagine an alternate universe where the value of the Planck constant is 6.62607x10−4J·s. In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics? A grain of sand with a mass of 135 mg, 515. µm wide, moving at 4.00 mm/s. An airplane with a mass of 1.75 x 104 kg, 15.0 m long, moving at 2300. km/h. An atom with a mass of 1.0 x 10-27 kg, 137. pm wide, moving at 394. m/s. A ball with a mass of 215. g, 4.1 cm wide, moving at 35.0 m/s.arrow_forwardImagine an alternate universe where the value of the Planck constant is 6.62607x10−17J·s. In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics? A bacterium with a mass of 9.0 pg, 6.0 µm long, moving at 9.00 µm/s. A mosquito with a mass of 2.3 mg, 6.0 mm long, moving at 3.0 m/s. A paper airplane with a mass of 5.9 g, 295. mm long, moving at 3.7 m/s. A car with a mass of 2000. kg, 4.4 m long, moving at 81.0 km/h.arrow_forwardWhat is the wavelength, in nvm, of an electron traveling at 10% of the speed of light?arrow_forward
- .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.arrow_forwardQuestion 1. An electron beam of a TEM leaves the gun with an energy of 300 keV. a) Determine the classical (non-relativistic) and relativistic wavelengths for the electron. (4) b) Determine the classical (non-relativistic) and relativistic momentum, frequencies and energies. (3)arrow_forwardIt is stated in the text that special relativity must be used to calculate the de Broglie wavelength of electrons in an electron microscope. Let us discover how much of an effect relativity has. Consider an electron accelerated through a potential difference of 1.00 x 105 V.a. Using the Newtonian (nonrelativistic) expressions for kinetic energy and momentum, what is the electron’s de Broglie wavelength?b. The de Broglie wavelength is λ = h/p, but the momentum of a relativistic particle is not mv. Using the relativistic expressions for kinetic energy and momentum, what is the electron’s de Broglie wavelength?arrow_forward
- iA photon has a wavelength of 619 nm. Calculate the energy of the photon in joules. iiProtons can be accelerated to speeds near that of light in particle accelerators. Estimate the wavelength (in nm) of such a proton moving at 2.91 ×108 m/s (mass of a proton = 1.673 × 10−27 kg).arrow_forwardWhat is the momentum of a 4-cm microwave photon?arrow_forwardAn electron in a box is in the ground state with energy 2.0 eV. (a) Find the width of the box. (b) How much energy is needed to excite the electron to its first excited state? (c) If the electron makes a transition from an excited state to the ground state with the simultaneous emission of 30.0-eV photon, find the quantum number of the excited state?arrow_forward
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