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Roughing It with Science A professor shipwrecked on Hooligan'sIsland decides to build a telescope from his eyeglasses and somecoconut shells. Fortunately, the professor's eyes require differentprescriptions, with the left lens having a power of $+5.0$ dioptersand the right lens having a power of $+2.0$ diopters. (a) Which lensshould he use as the objective? (b) What is the angular magnification of the professor's telescope?

a) right lensb) 2.5

Physics 103

Chapter 27

Optical lnstruments

Wave Optics

Cornell University

Hope College

University of Sheffield

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So in this problem, we were beauty a telescope using two lances. Uh, the first left the left lens. Let's go. The left lens has ah, refractive our off to Diop tres And they're right. The right lens has a reflective power off five Diop tres. So the first question of the problem we need to explain which off this lances should should be used as the objective one. Okay, well, we know that reflective. Our is just the inverse of the focal lens. So if a reflective our off the left, let's call on l here is too the focal lens. The focal land needs to be 0.5 and the right one if their focal interview effective power is five. So the focal lens let's go after it's going to be zero point one. So, as we know with the theory, we know that the objective lens should be, by definition, the lens with the smaller focal lens. So we need to use the focal and 0.1. So this is they're right blends. And that's the answer to the first item. The second item. We need to calculate the magnification of this telescope. So we know that the magnification is just f objective, divided by the F off the eyepiece. And we know here that the F objective is 0.1. So just, you know, 0.1 divided by 0.5. This has to be close to, Let's see, two point five. So this is the magnification off this Dallas group, that's all. Thanks for watching.

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