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$\bullet$ Young's experiment is performed with light of wavelength502 nm from excited helium atoms. Fringes are measured care-fully on a screen 1.20 $\mathrm{m}$ away from the double slit, and the cen-ter of the 20 th fringe (not counting the central bright fringe) isfound to be 10.6 $\mathrm{mm}$ from the center of the central bright fringe.What is the separation of the two slits?

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$1.13 \times 10^{-3} m$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 26

Interference and Diffraction

Electromagnetic Waves

Reflection and Refraction of Light

Cornell University

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

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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Young's experiment is…

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Young' $ experiment i…

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In a Young's double-s…

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A double-slit experiment i…

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In Young's experiment…

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In Young's double sli…

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The separation between the…

for the two slit experiment. We have this equation here which relates the distance between the slits, the angle theta the wavelength and the max or the minimal number here. And we also have this equation which relates to distance on the screen, the distance to the screen and the angle theta in these angles Here are the same. Not in this problem. We know the distance on the screen is much less than the distance to the screen, and so we can use the small Ingle approximation to certify the sine theta and the tangent of. When we do that, we can sub student here to get the data. I'm just replacing it with Santa is equal to M Lambda over D. And now I'm going to take this equation and some fight to our theta, since tangible fate ahs equal to theta approximately equal of data and then I'm going to plug in with it is by this it's like our Lambda over tea. And so now our true unknown as D. That's what we want to sell foreign problem. So sewing for that give Stevie is equal to 20 under substituting 24 film because that's the number of the maximum that we were wanting in this problem. We're going over. Are we going to Lambda? And we're going to divide by. Why am now we know what all three of these numbers are so we can plug in To get D is equal to 1.14 times 10 to the negative three meters or one play 14 millimeters, and that's the answer.

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