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$\bullet$$\bullet$ Doorway diffraction. Diffraction occurs for all types ofwaves, including sound waves. Suppose sound of frequency1250 Hz leaves a room through a $1.00-$ wide doorway. Atwhich angles relative to the centerline perpendicular to thedoorway will someone outside the room hear no sound? Use344 $\mathrm{m} / \mathrm{s}$ for the speed of sound in air and assume that the sourceand listener are both far enough from the doorway for Fraun-hofer diffraction to apply. You can ignore effects of reflections.

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Physics 102 Electricity and Magnetism

Physics 103

Chapter 26

Interference and Diffraction

Electromagnetic Waves

Reflection and Refraction of Light

Rutgers, The State University of New Jersey

University of Sheffield

University of Winnipeg

Lectures

02:30

In optics, ray optics is a geometric optics method that uses ray tracing to model the propagation of light through an optical system. As in all geometric optics methods, the ray optics model assumes that light travels in straight lines and that the index of refraction of the optical material remains constant throughout the system.

10:00

In optics, reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns into the medium from which it originated. Common examples include the reflection of light, sound and water waves. The law of reflection says that for specular reflection the angle at which the wave is incident on the surface equals the angle at which it is reflected. Reflection may also be referred to as "mirror image" or "specular reflection". Refraction is the change in direction of a wave due to a change in its speed. The refractive index of a material is a measure of its ability to change the direction of a wave. A material with a higher refractive index will change the direction of a wave to a greater degree than a material with a lower refractive index. When a wave crosses the boundary between two materials with different refractive indices, part of the wave is refracted; that is, it changes direction. The ratio of the speeds of propagation of the two waves determines the angle of refraction, which is the angle between the direction of the incident and the refractive rays.

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Diffraction occurs for all…

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Doorway Diffraction. Sound…

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Sound of frequency 1250 Hz…

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As Section $17.3$ discuss…

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(a) As Section 17.3 discus…

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As Section 17.3 discusses,…

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Doorway Diffraction. If yo…

Doorway diffraction. If yo…

Okey dokey. Zoom This problem we are doing our single slipped a fraction, but with some boobs. So the frequency of our sound waves is 12. 50 hurts The wits of our slit is a door in this case. So that's one meter in the velocity and of the sound wave is this beat us out So 344 meters per second and we want to know at what Ingles do we not here sound So that means at what angles early seeing are dark fringes. All right, so, you know, from our single slit fun equation time that the sign of the angle that those are happening at I was given my m lambda over. Hey, so the angle is the inverse of both sides. I'm lambda over a All right, so now we just need to figure out what Lambda is. So Landa is equal to the speed of the thing over the frequency of the thing. So if we plugged that in here sine minus one and the over today, this now we can go plug in a couple different values of M and see what we get. So if m equals plus or minus one. We have m equals plus or minus two that Nicole's plus a runs three. Uh, let's go to green now, so I have my inverse sine of whatever and we decided to put in. We'll make a square briquettes. Our velocity is 344 meters per second. Hoover A is one meter and my frequency is 12 50 hits s o. If I pull you in one into my handy dandy calculator, I get it 16 degrees on that symmetrical so it's plus or minus 16 degrees. But Billy inimical to get 33.4 degrees, and it's symmetrical. So plus or minus 5,000,000,003. 55 point 65 degrees and symmetrical. So that's plus or minus. And if you try to pull U. N. M equals four, you get a syntax error because the domain does not exist between sets. The only dark spot stuff we see

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