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$\bullet$$\bullet$ Coherent light that contains two wavelengths, 660 nm(red) and 470 nm (blue), passes through two narrow slits sep-arated by 0.300 $\mathrm{mm}$ , and the interference pattern is observedon a screen 5.00 $\mathrm{m}$ from the slits. What is the distance on thescreen between the first-order bright fringes for the twowavelengths?

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$3.16 \times 10^{-3} m$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 26

Interference and Diffraction

Electromagnetic Waves

Reflection and Refraction of Light

Cornell University

University of Michigan - Ann Arbor

Hope College

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.

01:17

Coherent light that contai…

03:22

35.14. Coherent light that…

02:55

02:53

01:53

04:26

Light that has a 650 -nm w…

05:14

$\bullet$ Two slits spaced…

03:09

Light waves with two diffe…

00:51

(II) If 720 -nm and 660 -n…

02:58

Light of wavelength 633 nm…

in this programme. We're going to use this equation here, which is valid on ly for small angles. Normally we'd have a tangent data here but for small angles Tanja fate as proximately equal to sign data. And then we can use the other equation and sulfur scientist. And when we do that, we get this. And so this equation is valid for small animals and we want the first order, Which means that Emma's Eagle one So we actually have this equation now for the red light. This is equal to our Landa ran or D because Lambda Red will change for the red versus the blue light. Now for the blue light, we're going to have the same thing. Except it'll be Lambda Blue already. But aren't you? Don't change. So we have these two equations and I'm going to take this equation and subtract this equation. When I do that, I'm going to get adult why? Which pretty much means Why are over my B and I'm going to get our over d times Delta Lambda where Delta, Lambda Zetas land our land to be. And then now I can plug in everything we know in this problem. So our is five meters Delta Lambda is 6 60 minus 4 70 But that's an animator. So I'm gonna multiply by something to make it into meters 10 to the minus nine meters and I'm going to divide by D. Andy is 0.3 times 10 to the minus three meters and any and will get 3.17 millimeters, which is the difference in separation on the screen between the first order maximums and so this is the final answer.

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