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$\bullet$ A laser beam of wavelength 600.0 $\mathrm{nm}$ is incident normallyon a transmission grating having 400.0 lines/mm. Find theangles of deviation in the first, second, and third orders ofbright spots.

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$13.88^{\circ}$, $28.68^{\circ}$, $46.05^{\circ}$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 26

Interference and Diffraction

Electromagnetic Waves

Reflection and Refraction of Light

Cornell University

Hope College

University of Sheffield

McMaster University

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.

02:05

6beam of monochromatic…

01:11

beam of monochromatic ligh…

01:01

Plane monochromatic waves …

02:13

$\cdot$ Plane monochromati…

01:59

A beam of collimated polyc…

08:17

A beam of light with a nar…

03:08

(a) What is the wavelength…

02:41

A narrow beam of yellow li…

10:12

A diffraction grating 20.0…

Okay. Okey dokey. So in this problem, we have a wavelength 600 Nana meters incident normally on a diffraction grating. That's 400 lines her millimeter. And we want Toto, What are the angles of the first? So I can't answered bright spots. All right, so our maximum occur just like with single and double slit to fraction. It's still deciding. Thinking equals, um land. So if I sold first son or if I saw Rosita signed data, there's M lander, old D machines. Data is the inverse sine love and Landa over D Already so d in this case because we have multiple slips, they give us the lines per millimeter. So d is just the inverse of that. So d is for one mill a mirror. There's 400. What? Which gives us a value of 0.25 millimeters. And just for fun. We're gonna convert that to micro meters and the innovators as well. All right, so my fate us I'm gonna be inverse sine So Saito one meeting one times lambda, which is 600 Nana meters over D. Because I'm leaving as Nana meters up here. I'm going to use manana meters for my I d 2500 Nana meters, which gives me bright spots at 13 point nine degrees. Say that, too, did the exact same thing, but I plug in to for him, 600 Nana meters over 2500 and, um, years gives me an angle of 28 point seven degrees. You had to see the three number sign three times 600 man eaters over 2519 years for my third bright spot at 46 point one degrees. Books, Bucks, bucks.

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