Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 3, Problem 6P
To determine
Validate the dimensions of the expressions calculate the values.
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Students have asked these similar questions
Imagine 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
quantum
A person weighing 77 kg jogs at 1.5 m/s.
a) Calculate the momentum and wavelength of this person.
b) What is the uncertainty in determining his position at any given instant if we can measure his momentum to +- 0.05%?
c) Predict the changes that would take place in this problem if the Planck constant were 1 J s.
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
Chapter 3 Solutions
Modern Physics
Ch. 3.2 - Calculate the quantum number, n, for this pendulum...Ch. 3.2 - An object of mass m on a spring of stiffness k...Ch. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8Q
Ch. 3 - Prob. 9QCh. 3 - Prob. 10QCh. 3 - Prob. 11QCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - As a single crystal is rotated in an x-ray...Ch. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48P
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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 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_forwardThe velocity of an electron is measured to a precision of 62 × 10-³ m/s. What is the minimal uncertainty to which its position can be measured? Please give your answer in units of mm, accurate to one decimal place. I.e, the answer you should enter should have the form: XX.X mm. Answer:arrow_forward
- In a parallel universe you conduct an experiment. It is determined that a duck is somewhere within a 100 m wide pond. | If Planck's constant is 2.0J-s in this universe, what is the minimum a. uncertainty you could have in measuring the momentum of the duck? b. If red light of wavelength 500 nm has an energy of 5 x 1025 eV in this universe, then what is the speed of light in this universe? 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?arrow_forwardGamma rays (?-rays) are high-energy photons. In a certain nuclear reaction, a ?-ray of energy 0.836 MeV (million electronvolts) is produced. Compute the frequency of such a photon. How do I enter 2.02*10^20 in the answer window?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_forward
- 3. The equation 1.45 in our textbook says that the de Broglie wavelength as a function of temperature is given by 1 Assuming the accepted accuracy for h, R, and m are very high, what is the V3MRT maximum uncertainty in the de Broglie wavelength if AT is the uncertainty in temperature?arrow_forwardHow much time is needed to measure the kinetic energy of an electron whose speed is 10 m/s with an uncertainty of no more than 0.1 percent? Howarrow_forwardA particle is created in a shower of particle decays. Its velocity is measured to a precision of 50 micrometers/second and its mass is inferred to be (exactly) 6.64×10−27 kg. What is the minimum uncertainty in our knowledge of the particle’s position? Explain.arrow_forward
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