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Suppose Figure 25.53 represents a ray of light going from air through crown glass into water, such as going into fish tank. Calculate the amount the ray is displaced by the glass $(\Delta x),$ given that the incident angle is $40.0^{\circ}$ and the glass is 1.00 $\mathrm{cm}$ thick.

3.73 $\mathrm{mm}$

Physics 103

Chapter 25

Geometric Optics

Reflection and Refraction of Light

Rutgers, The State University of New Jersey

University of Washington

Hope College

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for the given problem. I am following situation. So we have a clause here. Um, your air. So this is a glass, and here we have water. So, um, this the size off the class of work off the class given here is represented by de reaches 0.1 meter. So the light hits light comes here, hitch the surface off the claws. Well, let's say this is a normal and that's cool. We stayed on one, and so it bends comes down here. Benz, this is We call it better too. Andi here it comes out. And here goes like this. So if you draw, retrace the original, like coming into the glass than be interested like this here than this, he's a Delta X. We're supposed to find Delta X here, the distance between the emergent rains out off the glass into the water here. Eso This is said to so here this angle should be there too Goes off the alternate angles. Um Then, uh, this angle we have here is 10 3 So if I draw your normal also, this is state up, so they just write it here. Third at three. Okay, so Then we can write to Snell's Law for light coming from here to the glass, which is so from here two years I forgot to write from here to here then these, um 61 from here to here to this normal to this normal politics. To sew my Delta X is simply Delta X is simply x two minus 61 So find ex one next to that well, like those values. And then we'll get Tau Delta X here. So in order to find X to win X one, we need angles. So that's fine angles. Using the Snell's law, Um, we could right angle to here is equal to sign in. Worse off. And one is the refracting lips off air here. So and to is the refractive index or free gas sign that one You ready by two When substituting the radios here we have signing morsel for one turn. Signed 40 derided by reflecting looks over glasses 1.52 so so trying. This gives us 25 degrees so angle to use 25 degrees. Then we can write x one in terms off that that thing that the two in the D u from here. From this relation weaken Just you just used this. We can use this triangle this year, which is a d here. So the single Issa Dee, This is a setup two in here. This is X one then. No, we can write this relation thing. That, too is a cool to room. Simply x one derided by D From here I can find x one so that my ex one will be here. Next one will be, um, de time staying that to think that we found Andy's of 0.1 meter tainted to East Thing Really fresh breeze. And similarly, I can write X to using the same triangle here. Taken right. This is a D Times gang. They want 0.1 times. Stain that the foot that the one is for you. Then I can find my Dell X here. So go X will be 0.12 Doing 40 minus staying 25. Um, simply find Excuse me. The Del X is 3.73 millimeter

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