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A plastic film with index of refraction 1.85 is put on the surface of a car window to increase the

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A plastic film with index of refraction 1.85 is put on the surface of a car window to increase the reflectivity and thus to keep the interior of the car cooler. The window glass has index of refraction 1.52.
(a) What minimum thickness is required if light with wavelength 550nm in air reflected from the two sides of the film is to interfere constructively?
(b) It is found to be difficult to manufacture and install coatings as thin as calculated in part (a). What is the next greatest thickness for which there will also be constructive interference?

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Related Book For  answer-question
Fundamentals of Physics

Fundamentals of Physics

ISBN: 978-0471758013

8th Extended edition

Authors: Jearl Walker, Halliday Resnick

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Question Posted: October 20, 2010 03:27:34
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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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