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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5. A diffraction-limited telescope with a 7.6 cm aperture is aimed at target 12.5 km away. Assuming light
of 580 nm wavelength and neglecting air turbulence, what size details can be resolved by the telescope?
A) 8.2 cm
B) 10.0 cm
C) 11.3 cm
D) 12.43 cm
E) 12.88 cm
In a refracting telescope, spherical aberration limits
a. The focal length of the eyepiece
b. Chromatic aberration
c. The diameter of the objective lens
d. The total focusing power of the telescope
e. The length of the telescope
3. A satellite telescope has a parabolic dish. Satellite signals are collected at the focal point (focus) of the parabola. The distance from the vertex of the parabolic dish to the focus is 40 feet. The vertex of the dish is located at a point 50 feet above the ground and 100 feet to the east of a computer that reads and records data from the telescope. The diameter of the dish is 160 feet.
What is the depth of the parabolic dish?
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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- Why 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_forwardPeople 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_forwardTo focus X rays, such as those collected in the Chandra X–Ray Observatory, it is necessary to use a. a lens. b. a concave glass mirror, such as that used in an optical reflecting telescope. c. a metal dish, such as that used in a radio telescope. d. grazing incidence optics shaped like a converging, hollow tube. e. a mesh of conducting wires.arrow_forward
- 10. A small telescope has an objective lens of focal length 144 cm and an eye-piece of focal length 6.0 cm. What is the magnifying power of the telescope? What is the separation between the objective and the eye-piece?arrow_forwardWhy are there limits to the resolving power of a telescope? A The aperture is a double slit. B The aperture is a slit with two edges. C The aperture through which the light passes limits the amount of light that forms the image. D The aperture through which the light passes diffracts the light and blurs the image.arrow_forward2. The primary mirror of the orbiting telescope has a diameter of 6.7 cm being in orbit, this telescope avoids the degrading effects of atmospheric distortion on its resolution. Assuming an average light wavelength of 400 nm, what is the angle between two just-resolvable point light sources? A) 4.02 x 10“ rad B) 5.24 x 106 rad C) 6.44 x 106 rad D) 7.28 x 106 rad E) 8.03 x 106 radarrow_forward
- 2. If a telescope with focal length 30 cm "sees" an object taking up 2° of its view, how big is the image in the telescope? 3. If an object makes an image that's 0.5 mm on your retina, how many degrees of your view does it occupy? 4. When you zoom into an object optically with your camera (not electronic zoom), does the lens extend or contract? Why? 5. Why is a ground-based x-ray telescope not a great idea? 6. What is the resolution in seconds of telescope with a 0.5 m diameter lens at visible light? 7. Some telescopes are dual-purpose: they detect visible light and infra-red. Were the telescope in the question above capable of this, would it have higher resolution in infra-red or lower (compared to visible light)? 8. What diameter lens do you need on a telescope that can resolve up to a thousandth of a second? 9. A magnifying glass is rated at 3.5 magnification for normal eyes (i.e., mine, not some crazily good ones - Lucie, Remonia: I'm looking at you, or would be if I could only…arrow_forwardThe ideal lens in an astronomical telescope focuses the image of a star at a distance of exactly 20 meters at a wavelength of 0.5 microns. The lens is 2 meters wide. 1. What is its Numerical Aperture? 2. What is the size of the image of the star? 3. What is the depth of focus? The astronomers decide to look at the moon instead, which is only 400,000 km distant. 4. How much does the focus change? Should they bother to focus the telescope? The moon is about 3500 km wide. 5. What is the size of the image of the moon?arrow_forwardWhich of the following is not a problem for refracting telescopes? OA. Different wavelengths of light are focused at slightly different locations. OB. The quality of the glass lens in transparency and in the shape of both surfaces must be high. OC. The secondary mirror blocks some of the light passing through the primary lens. OD. The primary lens can only be supported at the edges making deformation of large lenses difficult to avoid.arrow_forward
- 3. If an object makes an image that's 0.5 mm on your retina, how many degrees of your view does it occupy? 4. When you zoom into an object optically with your camera (not electronic zoom), does the lens extend or contract? Why? 5. Why is a ground-based x-ray telescope not a great idea? 6. What is the resolution in seconds of telescope with a 0.5 m diameter lens at visible light? 7. Some telescopes are dual-purpose: they detect visible light and infra-red. Were the telescope in the question above capable of this, would it have higher resolution in infra-red or lower (compared to visible light)? 8. What diameter lens do you need on a telescope that can resolve up to a thousandth of a second? 9. A magnifying glass is rated at 3.5 magnification for normal eyes (i.e., mine, not some crazily good ones - Lucie, Remonia: I'm looking at you, or would be if I could only focus my eyes) that are focused on an image at the near point. What is its focal length? What would the focal length be if the…arrow_forward5)An astronomer is observing an image in a telescope that might be two objects, but it’s unclear. a) If she has three filters: red, yellow, and blue, which color filter should she use? (_______) b) If she only has one filter, but instead she can change the size of the aperture of the telescope, how should she change the aperture?(_______) (type in larger or smaller)arrow_forwardAstronomers who use ground-based telescopes spend a lot of time and effort dealing with something called seeing. Sometimes they build adaptive-optics systems to try and partially overcome it. What is seeing? Group of answer choices Stray light from buildings, cars, parking lots, streetlights, etc.., which makes the night sky brighter and thus makes it harder to see faint astronomical objects The inability of refracting telescopes to bring all colors of light to a focus at the same distance from the objective lens. Turbulence in the Earth's atmosphere that makes for blurry images of astronomical objects The ability of a spectrograph or spectrometer to spread light out into its constituent colors, thus revealing what a distant object is made of.arrow_forward
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