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Introductory Physics Homework Help
Image of an Object Inside Hollow Glass Sphere
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[QUOTE="Kaan99, post: 5446015, member: 591213"] Hello, This question is from 1990 Turkey National Physics Olympics. I tried my best to translate it clearly. [B] 1. Homework Statement [/B] [URL]https://s23.postimg.org/cotn29afv/Hollow+Spherical+Glass.jpg[/URL] The sphere of radius 2R has an empty sphere inside with radius R. In order for the image of an object on the inner surface of the sphere to be R/5 far away from the object (which is shown with an asterisk*) for an observer at the indicated position (göz), what should be the index of refraction of the glass? Where is the focal point of this optical system? [h2]Homework Equations[/h2] Thin Lens Equation Lensmaker's Equation [h2]The Attempt at a Solution[/h2] The lens is made up of to circles of radii R and 2R, using lensmaker and thin lens eq. ## \frac{1}{f} = (n-1) (\frac{1}{R_1}-\frac{1}{R_2})=\frac{1}{d_o}+\frac{1}{d_i}## ## (n-1)(\frac{1}{-R}-\frac{1}{-2R})=\frac{1}{2R}+\frac{1}{d_i}## ## \frac{n-1}{-2R}=\frac{1}{2R}+\frac{1}{d_i}## ## d_i=\frac{n}{-2R}## It turned out that my attempt wasn't accurate from the start, as it deviates from the [URL=https://s3.postimg.org/jjlooarpv/Solution.jpg]solution provided[/URL]. I couldn't understand how the first equation is formed in the solution. The result is n=2 and f=4R. [/QUOTE]
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Image of an Object Inside Hollow Glass Sphere
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