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Generalize the derivation of the lensmakers formula (Equation 31.7) to show that a lens of refractive index

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Generalize the derivation of the lensmaker’s formula (Equation 31.7) to show that a lens of refractive index nlens in an external medium with index next has focal length given by

») = { - 1) (lensmaker's formula) (31.7) f

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») = { - 1) (lensmaker's formula) (31.7) f

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Evance Amoke
Am currently pursuing my masters degree in applied statistics while tutoring students at the same institution,TUM. During years of my undergraduate studies, I took mathematics and Actuarial Sciences and I glad to say I love Actuarial maths.
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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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