Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 35, Problem 18E
To determine
How big would
h
have to be if your minimum possible energy corresponded to a speed of
1.0 m/s
.
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In a parallel universe you conduct an experiment. It is determined that a duck is somewhere
within a 100 m wide pond.
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a.
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b.
If red light of wavelength 500 nm has an energy of 5 x 1025 eV in this
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Show transcribed image text In a parallel universe you conduct an experiment. It is determined that a duck is somewhere within a loo m wide pond. a.
If Planck?s constant is 2.0 j s in this universe, what is the minimum uncertainty you could have in measuring the momentum of the duck? b.
If red light of wavelength 500 nm has an energy of 5x 10^25 eV in this universe, then what is the speed of light in this universe?
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.
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O classical
A buckyball with a mass of 1.2 x 1021 g, 0.7 nm wide,
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A human with a mass of 86. kg, 2.5 m high, moving at
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Imagine an alternate universe where the value of the Planck constant is 6.62607 x 10
36
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.
quantum
A turtle with a mass of 530. g, 27. cm long, moving at 2.2
classical
cm/s.
quantum
classical
A buckyball with a mass of 1.2 x 1021 g, 0.7 nm wide,
moving at 38. m/s.
quantum
classical
A human with a mass of 86. kg, 2.5 m high, moving at
3.0 m/s.
quantum
Chapter 35 Solutions
Essential University Physics
Ch. 35.1 - Prob. 35.1GICh. 35.2 - Prob. 35.2GICh. 35.3 - Prob. 35.3GICh. 35.3 - Prob. 35.4GICh. 35.3 - Prob. 35.5GICh. 35.4 - Prob. 35.6GICh. 35 - Prob. 1FTDCh. 35 - Prob. 2FTDCh. 35 - Prob. 3FTDCh. 35 - Prob. 4FTD
Ch. 35 - Prob. 5FTDCh. 35 - Prob. 6FTDCh. 35 - Prob. 7FTDCh. 35 - What did Einstein mean by his re maxi, loosely...Ch. 35 - Prob. 9FTDCh. 35 - Prob. 11ECh. 35 - Prob. 12ECh. 35 - Prob. 13ECh. 35 - Prob. 14ECh. 35 - Prob. 15ECh. 35 - Prob. 16ECh. 35 - Prob. 17ECh. 35 - Prob. 18ECh. 35 - Prob. 19ECh. 35 - Prob. 20ECh. 35 - Prob. 21ECh. 35 - Prob. 22ECh. 35 - Prob. 23ECh. 35 - Prob. 24ECh. 35 - Prob. 28ECh. 35 - Prob. 29ECh. 35 - Prob. 30ECh. 35 - Prob. 31ECh. 35 - Prob. 32ECh. 35 - Prob. 33ECh. 35 - Prob. 34ECh. 35 - Prob. 35ECh. 35 - Prob. 36PCh. 35 - Prob. 37PCh. 35 - Prob. 38PCh. 35 - Prob. 39PCh. 35 - Prob. 40PCh. 35 - Prob. 41PCh. 35 - Prob. 42PCh. 35 - Prob. 43PCh. 35 - Prob. 44PCh. 35 - Prob. 45PCh. 35 - Prob. 46PCh. 35 - Prob. 47PCh. 35 - Prob. 48PCh. 35 - Prob. 49PCh. 35 - Prob. 50PCh. 35 - Prob. 51PCh. 35 - Prob. 52PCh. 35 - Prob. 53PCh. 35 - Prob. 54PCh. 35 - Prob. 55PCh. 35 - Prob. 56PCh. 35 - Prob. 57PCh. 35 - Prob. 58PCh. 35 - Prob. 59PCh. 35 - Prob. 60PCh. 35 - Prob. 61PCh. 35 - Prob. 62PPCh. 35 - Prob. 63PPCh. 35 - Prob. 64PPCh. 35 - Prob. 65PP
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- In his classic 1940 book Mr. Tompkins in Wonderland, physicist George Gamow imagined a trip to a "quantum jungle" where the value of Planck's constant h was 1.0 J*s instead of its real value of 6.63 x 10-34 J*s. Imagine that while exploring in this quantum jungle, you disturb a community of bats residing in a ruined temple. Imagine that a "beam" of identical bats (each with a mass of 0.5 kilograms) flies at 6 meters per second through two temple doors 3 meters apart and into a flat, large courtyard beyond. If you are 30 meters from the doors, where could you stand in the courtyard to avoid being struck by any bats? (Hint: the answer is 1.6 meters, 4.9 meters, etc, to either side of the center line perpendicular to the doors)arrow_forwardImagine an alternate universe where the value of the Planck constant is ×6.62607·10−36Js . 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? A turtle with a mass of 560. g, 29. cm long, moving at 2.4 cm/s. classical quantum An iceberg with a mass of 3.8 x 108 kg, 80. m wide, moving at 0.75 km/h. classical quantum A mosquito with a mass of 1.2 mg, 11.4 mm long, moving at 2.5 m/s. quantum classical A buckyball with a mass of 1.2 x 10-21 g, 0.7 nm wide, moving at 40. m/s. classical quantumarrow_forwardImagine 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? O classical An alpha particle with a mass of 6.6 x 10-27 kg, 8.0 x 10 15 m wide, moving at 18. km/s. O quantum O classical A mosquito with a mass of 2.0 mg, 10.8 mm long, moving at 2.1 m/s. O quantum O classical An iceberg with a mass of 3.6 x 108 kg, 200. m wide, moving at 0.44 km/h. O quantum O classical A turtle with a mass of 900. g, 30. cm long, moving at 2.3 cm/s. O quantumarrow_forward
- Given this quantum state: ¥(r,0,0) = R(r)(√₂Y+Y¹-Y₂²), a) measured: |Z|² , find possible outcomes, corresponding probabilities and the average value b) repeat the same but instead with measured say Lz c) If you had first measured Lz to be planck's constant, and then measured |Z|² what can be said about the result of |Z|² ?arrow_forwardIn his classic 1940 book Mr. Tompkins in Wonderland, physicist George Gamow imagined a trip to a "quantum jungle" where the value of Planck's constant h was 1.0J-s instead of its real value of 6.63 × 10-34 J-s.Imagine that while exploring in this quantum jungle, you disturb a community of bats residing in a ruined temple. Imagine that a "beam" of identical bats (each with a mass of 0.5 kg) flies at 6 m/s through two temple doors 3 m apart and into a flat, large courtyard beyond. Where could you stand in the courtyard to avoid being struck by any bats?arrow_forward4. In Section 1.3 we used dimensional analysis to show that the size of a hydrogen atom can be understood by assuming that the electron in the atom is wave-like and non-relativistic. In this problem we show that, if we assume the electron in the atom is a classical electron described by the theory of relativity, dimensional analysis gives an atomic size which is four orders of magnitude too small. Consider a relativistic, classical theory of an electron moving in the Coulomb potential of a proton. Such a theory only involves three physical constants: m, /4mc9, and e, the maximum velocity in relativity. Show that it is possible to construct a length from these three physical constants, but show that it too small to characterize the size of the atom.arrow_forward
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