21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 6.1, Problem 6.1BCYU
To determine
The factor which limit the angular resolution of a 10-inch telescope.
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Students have asked these similar questions
What is the purpose of adaptive optics?
A.
to improve the angular resolution of telescopes in space
B.
to eliminate the distorting effects of atmospheric turbulence for telescopes on the ground
C.
to increase the collecting area of telescopes on the ground
D.
to increase the magnification of telescopes on the ground
E.
to allow several small telescopes to work together like a single larger telescope
The most important function of an astronomical telescope is to:
a. collect as much light as possible and bring it into focus
c. enhance the violet colors of an object, which our eyes have trouble seeing
d. bring distant objects closer by pulling on the light
A telescope has a circular aperture of diameter D = 4.5 m. A light with wavelength λ = 670 nm travels through the telescope.
Part (a) Express the limiting angle of resolution, θmin, in terms of λ and D. You may assume that θmin is very small.
Part (b) Solve for the numerical value of θmin in degrees.
Chapter 6 Solutions
21st Century Astronomy
Ch. 6.1 - Prob. 6.1ACYUCh. 6.1 - Prob. 6.1BCYUCh. 6.2 - Prob. 6.2CYUCh. 6.3 - Prob. 6.3CYUCh. 6.4 - Prob. 6.4CYUCh. 6.5 - Prob. 6.5CYUCh. 6 - Prob. 1QPCh. 6 - Prob. 2QPCh. 6 - Prob. 3QPCh. 6 - Prob. 4QP
Ch. 6 - Prob. 5QPCh. 6 - Prob. 6QPCh. 6 - Prob. 7QPCh. 6 - Prob. 8QPCh. 6 - Prob. 9QPCh. 6 - Prob. 10QPCh. 6 - Prob. 11QPCh. 6 - Prob. 12QPCh. 6 - Prob. 13QPCh. 6 - Prob. 14QPCh. 6 - Prob. 15QPCh. 6 - Prob. 16QPCh. 6 - Prob. 17QPCh. 6 - Prob. 18QPCh. 6 - Prob. 19QPCh. 6 - Prob. 20QPCh. 6 - Prob. 21QPCh. 6 - Prob. 22QPCh. 6 - Prob. 23QPCh. 6 - Prob. 24QPCh. 6 - Prob. 25QPCh. 6 - Prob. 26QPCh. 6 - Prob. 27QPCh. 6 - Prob. 28QPCh. 6 - Prob. 29QPCh. 6 - Prob. 30QPCh. 6 - Prob. 31QPCh. 6 - Prob. 32QPCh. 6 - Prob. 33QPCh. 6 - Prob. 34QPCh. 6 - Prob. 35QPCh. 6 - Prob. 36QPCh. 6 - Prob. 37QPCh. 6 - Prob. 38QPCh. 6 - Prob. 39QPCh. 6 - Prob. 40QPCh. 6 - Prob. 41QPCh. 6 - Prob. 42QPCh. 6 - Prob. 43QPCh. 6 - Prob. 44QPCh. 6 - Prob. 45QP
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- People are often bothered when they discover that reflecting telescopes have a second mirror in the middle to bring the light out to an accessible focus where big instruments can be mounted. “Don’t you lose light?” people ask. Well, yes, you do, but there is no better alternative. You can estimate how much light is lost by such an arrangement. The primary mirror (the one at the bottom in Figure 6.6) of the Gemini North telescope is 8 m in diameter. The secondary mirror at the top is about 1 m in diameter. Use the formula for the area of a circle to estimate what fraction of the light is blocked by the secondary mirror. Figure 6.6 Focus Arrangements for Reflecting Telescopes. Reflecting telescopes have different options for where the light is brought to a focus. With prime focus, light is detected where it comes to a focus after reflecting from the primary mirror. With Newtonian focus, light is reflected by a small secondary mirror off to one side, where it can be detected (see also Figure 6.5). Most large professional telescopes have a Cassegrain focus in which light is reflected by the secondary mirror down through a hole in the primary mirror to an observing station below the telescope.arrow_forwardWhy is it advantageous to use a large-diameter objective lens in a telescope? (a) It diffracts the light more effectively than smaller-diameter objective lenses. (b) It increases its magnification. (c) It enables you to see more objects in the field of view. (d) It reflects unwanted wavelengths. (e) It increases its resolution.arrow_forwardThe angular resolution of a radio telescope is to be 0.100 when the incident waves have a wavelength of 3.00 mm. What minimum diameter is required for the telescopes receiving dish?arrow_forward
- If you build a telescope with a focal length of 1.3 m, what focal length does the eyepiece need to give a magnification of 100 times?arrow_forwardA diffraction-limited telescope with a 7.6-cm aperture is aimed at target 12.5 km away. Assuming light of 500 nm wavelength and neglecting air turbulence, determine the size of details can be resolved by the telescope. A. 10 cm B. 15 cm C. 20 cm. D. 5 cmarrow_forwardThe _____________________ of a telescope is a measure of its ability to show fine detail and depends on the diameter of the objective. a. light-gathering power b. focal length c. magnifying power d. resolving power e. spherical aberrationarrow_forward
- You are using a telescope is to resolve two distant stars as well as possible. Which of the following modifications will increase the resolution of the telescope? Question 8 options: Use a filter to filter out all but the red light. Use a filter to filter out all but the blue light. Use a lens of smaller diameter Use a lens of larger diameter None of these modifications will impact the resolution of the telescope.arrow_forwardUsing a refracting telescope, you observe the planet Mars when it is 1.95×10^11 m from Earth. The diameter of the telescope's objective lens is 0.967 m. What is the minimum feature size, in kilometers, on the surface of Mars that your telescope can resolve for you? Use 563 nm for the wavelength of light.arrow_forwardA 1.38 m-long Galilean telescope has an eyepiece lens with focal length -4.58 cm. Determine the lens power of the telescope. Give your answer in m-1, correct to 2d.p.arrow_forward
- The primary mirror on a telescope is able to resolve objects that are theta o apart. If you replace the mirror with one that has it in diameter six times smaller than the first what will be the angular resolution of the telescopearrow_forwardWhat is the magnification of an astronomical telescope whose objective lens has a focal length of 78 cm and whose eyepiece has a focal length of 2.8 cm? The telescope is set so the image of the eyepiece is at infinity (so the viewer’s eye is “relaxed”). What is the overall length of the telescope? Sketch the situation, defining all your variables Please sketch it, this is most important.arrow_forward
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