Modern Physics
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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Imagine 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.
Imagine another universe in which the value of Planck’s constant is 0.0663 J . s, but in which the physical laws and all other physical constants are the same as in our universe. In this universe, two physics students are playing catch. They are 12 m apart, and one throws a 0.25 kg ball directly toward the other with a speed of 6.0 m/s. (a) What is the uncertainty in the ball’s horizontal momentum, in a direction perpendicular to that in which it is being thrown, if the student throwing the ball knows that it is located within a cube with volume 125 cm3 at the time she throws it? (b) By what horizontal distance could the ball miss the second student?
Imagine an alternate universe where the value of the Planck constant is 6.62607x10−36J·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 mosquito with a mass of 1.1 mg, 8.7 mm long, moving at 2.7 m/s. A buckyball with a mass of 1.2 x 10-21 g, 0.7 nm wide, moving at 23. m/s. An iceberg with a mass of 3.4 x 108 kg, 160. m wide, moving at 1.21 km/h. An eyelash mite with a mass of 8.3 µg, 370 µm wide, moving at 27. µm/s.
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