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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 $65-$ kgstudent be equal to the $0.76-\mathrm{m}$ width of a doorway? (b) At this speed, how much time will it take the student to travel a distanceof 1.0 $\mathrm{mm}$ ? (For comparison, the age of the universe is approximately $4 \times 10^{17} \mathrm{s.}$ .

a) $1.34 \times 10^{-35} \mathrm{m} / \mathrm{s}$b) $7.45 \times 10^{31} \mathrm{s}$

Physics 103

Chapter 30

Quantum Physics

University of Washington

Simon Fraser University

McMaster University

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

02:27

Doorway Diffraction. If yo…

02:06

Doorway diffraction. If yo…

03:50

0:00

An 81 -kg student who has …

01:02

The width of the central b…

01:47

A diffraction pattern form…

03:03

If your de Broglie wavelen…

04:30

As an example of diffracti…

03:44

An electromagnetic wave wi…

03:45

A light wave has wavelengt…

must've student equals 65 grands. Um moss off student is equal to 65 kilograms. And what work is 0.76 meters? We need to find out speed. Ah, land vehicles. It's divided by B and B equals mass times lost e Therefore, lost equals. It's divided by most times prevalent. Let's plug in the values which is 6.63 Multiply the 10 to the dollar minus 34. Divided by mass is 65 kilograms multiplied by, uh, bad lint Lander. Um so oh, here lender is ah zero point 76 dividing the two numbers lost, he comes out to be ah 1.3 Multiply 10 to the power minus 35 meters for a second. So velocity is equal to 1.3 multiply. We tend to the power of minus 35 meter per second. We know that distance equals speed times, time and T equals speed divided by velocity. Well distance given his one millimeter divided by our speed is 1.3 multiply by 10 to the power minus 35 meter per second one multiplied by 10 people are minus three meters, divided by 1.3 multiply with tend to the bar minus 35. Dividing the two numbers. T equals 7.4 multiplied by damn dirty power, 31 seconds.

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In physics, wave optics is the study of the behavior of light, or other elec…

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