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Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker
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“ Diffraction effects become significant when the width of

Chapter 30, Problem 68P

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QUESTION:

Problem 68P

“ Diffraction effects become significant when the width of an aperture is comparable to the wavelength of the waves being diffracted, (a) At what speed will the de Broglie wavelength of a 65-kg student be equal to the 0.76-m width of a doorway? (b) At this speed, how long will it take the student to travel a distance of 1.0 mm? (For comparison, the age of the universe is approximately 4 × 1017s.)

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QUESTION:

Problem 68P

“ Diffraction effects become significant when the width of an aperture is comparable to the wavelength of the waves being diffracted, (a) At what speed will the de Broglie wavelength of a 65-kg student be equal to the 0.76-m width of a doorway? (b) At this speed, how long will it take the student to travel a distance of 1.0 mm? (For comparison, the age of the universe is approximately 4 × 1017s.)

ANSWER:

Step 1 of 3

a)

Here, we have to find the speed at which the de broglie wavelength of the student will be equal to 0.76 m.

Given that,

.

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