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For the interface between air (refractive index 1) and a material with refractive index n, show that

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For the interface between air (refractive index 1) and a material with refractive index n, show that the critical angle and the polarizing angle are related by sin θc = cot θp.

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In the phenomenon of total internal reflection TIR The relation between critical angle ...View the full answer


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Essential University Physics

Essential University Physics

ISBN: 978-0321976420

3rd Edition Volume 2

Authors: Richard Wolfsonby

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Using a few basic physics principles, you can impress your friends with a trick that makes a bottle disappear. For this experiment, you will need a mini plastic bottle, glycerin, a glass, and a funnel. First, open the bottle and pour some glycerin into it, then close the bottle tightly. Next, pour some water into the glass using a funnel. Place the mini bottle into the glass of water and it will look normal. This is because light travels through air faster than it travels through the glass and water, allowing our eyes to see the bottle inside the glass. However, when you fill the mini bottle with more glycerin, and pour glycerin into the glass, then put the glycerin filled bottle into the glass with glycerin in it. Half of the bottle that is submerged in the glycerin will become invisible as the light travels through glass and glycerin at the same speed, thus it does not bend and no refraction takes place, making the bottle invisible. This happens because both glass and glycerin have almost the same refractive index, which causes the speed of light to be the same in both mediums, causing no bending of light and making the bottle disappear.

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