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The largest refracting telescope in the world is at Yerkes Observatory in Wisconsin. The objective lens is 1.02 $\mathrm{m}$ in diameter and has a focal length of 19.4 $\mathrm{m} .$ Suppose you want to magnify Jupiter, which is $138,000 \mathrm{km}$ in diameter, so that its image subtends an angle of $\frac{10}{2}$ (about the same as the moon) when it is $6.28 \times 10^{8} \mathrm{km}$ from earth. What focal-length eye-piece do you need?

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$=0.49 \mathrm{m}$. The focal length of the eyepiece needed is 0.49 $\mathrm{m}$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 25

Optical Instruments

Electromagnetic Waves

Reflection and Refraction of Light

Cornell University

University of Michigan - Ann Arbor

Simon Fraser University

University of Sheffield

Lectures

02:30

In optics, ray optics is a geometric optics method that uses ray tracing to model the propagation of light through an optical system. As in all geometric optics methods, the ray optics model assumes that light travels in straight lines and that the index of refraction of the optical material remains constant throughout the system.

10:00

In optics, reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns into the medium from which it originated. Common examples include the reflection of light, sound and water waves. The law of reflection says that for specular reflection the angle at which the wave is incident on the surface equals the angle at which it is reflected. Reflection may also be referred to as "mirror image" or "specular reflection". Refraction is the change in direction of a wave due to a change in its speed. The refractive index of a material is a measure of its ability to change the direction of a wave. A material with a higher refractive index will change the direction of a wave to a greater degree than a material with a lower refractive index. When a wave crosses the boundary between two materials with different refractive indices, part of the wave is refracted; that is, it changes direction. The ratio of the speeds of propagation of the two waves determines the angle of refraction, which is the angle between the direction of the incident and the refractive rays.

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The largest refracting tel…

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The telescope at Yerkes Ob…

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Yerkes telescope The world…

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A refracting telescope has…

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One of the largest refract…

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Okay, So the question was asking us What is the focal lens over the eyepiece? Well, that's used. Have to pretend the opponents off options. We know that they that Brian's equals h flyover have to the prize sub tended angle in the age cry. Here is the height of image and activities of opening somewhere looking. If we do some arrest me here, we'll get after his equal each cry over tater problem. Okay, so we know what a prime which is the south Any angle rescue minutes half degree, which is if we converted toe radiance is syrup 100 Asians me but we don't know the value of HPAI So you know its a determined effort to when you get a valuable HPAI, which is the height of image. How come to that, uh, we know the end of magnification formula. It's ego to em because negativity over you go to his private age. It was just on ranch. Men will get a surprise he could do Navy over. Youth has age. The necklace I hear is not necessary means the batteries die Next. It just means that images seen word. Okay, so we know the actual heights off. The director is given as the diameter, which is Oh, 138,000 film here and we converted two meters, 1.38 times tender, Apollo 18 And the image distance in this case is just equal to be vocal ends off the object distance. Why is that? Because the object isn't is worry large when compared with the focus will be objectively ins. So we can say that the objects at infinity since the so large okay in which means the image distance is just nearly equal to the populations off objective lens. So we'll get we is equal to the F four, which is the Falklands. Off off the objective lens, which is equal 9.4 year. An object, this is is the distance from Earth and you which is 6.2 a times tends with a kill me. Well, come here into a meteor in a later calculations. Okay, so we think it h price, which is a simply eagle two, uh, naked 19.4 meter over 6.28 times. Attention. A task 10 to the power three meter because one killed Mary's tend to a power. Three meter. Okay. Times the actual high was just 1.38 has tend to a meter and we get a negative 0.4 to 63 meter, which is 0.4263 Centerview, remember electing side here? This means it just means that it images is inverted. So now we got his prime replying to a problem battle. The first question we have we got have to use it was a surprise over the prime, which is Oh, a surprise. Given this Let's use the meter turns up 0.0 Group 4 to 63 meter overthrow that prime, which is zero point 00 a 73 Well, yeah, 0.49 meter. Okay. Remember I didn't bring the negus, I hear because remember what I said Nature scientists means the images that using bird so you can basically ignore the negative sign We'll we'll do some calculation for the focal hands. Okay, so is the focal lens off. Happy's should be about 0.49 meter. Okay. And this that this is the solution for this question. Thank you

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