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Predict/Calculate A film of oil, with an index of refraction of 1.48 and a thickness of $1.50 \mathrm{cm},$ floats on a pool of water, asshown in FlGURE $26-74$ . A beam of light is incident on the oil at an angle of $60.0^{\circ}$ to the vertical. (a) Find the angle $\theta$ the light beammakes with the vertical as it travels through the water. (b) Howdoes your answer to part (a) depend on the thickness of the oilfilm? Explain.

(a) 40.6 $\mathrm{deg}$(b) see explanation

Physics 103

Chapter 26

Geometrical Optics

Wave Optics

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(II) A thin film of oil $\…

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this question. We have this set up their of oy. Um, it's on now. So it's not like poor water. And then the beam off light its incident on the oil and and go up incidents off 60 degrees and we want to find and girl reflection, um, It makes it so vertical as it travels through the water. Came the angle data as labor on the diagram. Okay, so to do this problem will be using Snell's law heat because it's related to reflection. Okay, so we're going to live with this. And glass data are and similarly, this angle here, the data are okay. And so, using sounds law, you have, uh, and air is equal to and a times sign 60 degrees is equal to And oy. Sorry. There are. And you also have. Okay, so this is for the or interface, And then we also have the oil water interface, and so you have the effective index off all times. Sine data are is equal to a reflective index of water. Kind of science data. Yeah. So this is the oy water interface. Okay, So, Andi, if you look at this thes two terms are equal So we can, uh, immediately. Right. Uh, and air time sign. 60 degrees is you go to and water. I'm side data. Okay, so putting the numbers data is equal to science. 60 degrees. You're right by 1.3 tree. Okay, which is 0.651 And then data is equal to 40 26 degrees. Yeah. Okay, so this is the answer for party, then in part B, um, is the answer data depend on the thing that soy uh, okay. Data that's not depend on the thickness off. Oy, he Yeah, because the the equation that commenced data that's not contain any information about the things. Oh, boy. So the answer is that's not pen. Okay, Because the equation of use, um is, uh, is this equation so it doesn't contain thickness of boy. So, yeah, so it doesn't That's not depend on the thickness. Okay. And that's all

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