21ST CENT.ASTRONOMY(LL)W/CODE WKBK PKG.
6th Edition
ISBN: 9780393874921
Author: PALEN
Publisher: Norton, W. W. & Company, Inc.
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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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A 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.
O A. 20 cm.
B. 5 cm
c. 15 cm
O D. 10 cm
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
Use diagrams to describe how the following types of telescope collect light from a single point-
source at infinity, and form a focused image in the focal plane:
(i) refractor
(ii) Newtonian reflector
(iii) catadioptric telescope.
A telescope with focal ratio f/10 and diameter D = 0.5 m has a CCD detector placed at its focal
plane. The CCD chip has dimensions 3 × 3 cm2
. Determine the size of the field of view that can
be imaged on the CCD detector in units of arcminutes × arcminutes, and state whether or not an
image of the full moon can be captured. Assume the angular diameter of the full moon is 30
arcminutes.
Chapter 6 Solutions
21ST CENT.ASTRONOMY(LL)W/CODE WKBK PKG.
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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- The 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_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_forward3. 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?arrow_forward
- 1. A diffraction-limited telescope with a 7.6 cm aperture is aimed at target 12.5 km away. Assuming light of 590 nm wavelength and neglecting air turbulence, what size details can be resolved by the telescope? A. 10 cm B. 11cm C. 12 cm D. 13 cmarrow_forward10. 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_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_forward
- 2. 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_forwardA telescope is used to resolve two distant stars. By what factor will the resolution of the telescope change if the diameter of the lens is doubled? a)The resolution will increase by a factor of 4 b)The resolution will increase by a factor of 2 c)The resolution will not change, although more light will be collected. d)The resolution will decrease by a factor of 2 e)The resolution will decrease by a factor of 4 f)arrow_forwardThe primary optical element of the Hubble Space Telescope (HST) is 3.2 m in diameter and has a focal length of 62 m. (Treat it as a simple, single lens for this homework) The telescope is aimed at Jupiter and the collected light is focused onto a sensitive Charge Coupled Device (CCD) detector, similar to what is in a digital camera. Each pixel in the detector is a 21 μm x 21 μm square, and the full CCD is 4096 x 4096 pixels. Thus the CCD is about one square inch in size. The HST is in orbit very close to the Earth (compared to other distances in the Solar system). Size of Jupiter: 139,820 km in diameter Distance to Jupiter: 778 million km How many pixels in diameter is Jupiter's image on CCD?arrow_forward
- 5)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_forwardYou 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_forward
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