Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Chapter 5, Problem 4P
To determine
The comparison light-gathering power of 10 m diameter keck telescope to human eyes.
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How does the light-gathering power of one of the Keck telescopes compare with that of the
human eye? Assume that the pupil of your eye can open to a maximum of about 0.8 cm in
diameter.
In the dark, your pupil (the aperture of your eye) expands
to a diameter of 7 mm.
How many times more light can be gathered by a
telescope with a 5.5 m diameter than by a fully dark-
adapted eye?
Increase in light gathered = I times
You have been asked to compare four proposals for telescopes to be placed in orbit above the blurring effects of the earth’s atmosphere. Rank the proposed telescopes in order of their ability to resolve small details, from best to worst. (i) A radio telescope 100 m in diameter observing at a wavelength of 21 cm; (ii) an optical telescope 2.0 m in diameter observing at a wavelength of 500 nm; (iii) an ultraviolet telescope 1.0 m in diameter observing at a wavelength of 100 nm; (iv) an infrared telescope 2.0 m in diameter observing at a wavelength of 10 mm.
Chapter 5 Solutions
Horizons: Exploring the Universe (MindTap Course List)
Ch. 5 - Prob. 1RQCh. 5 - Prob. 2RQCh. 5 - Prob. 3RQCh. 5 - Prob. 4RQCh. 5 - Prob. 5RQCh. 5 - Prob. 6RQCh. 5 - Prob. 7RQCh. 5 - Prob. 8RQCh. 5 - Prob. 9RQCh. 5 - Prob. 10RQ
Ch. 5 - Prob. 11RQCh. 5 - Prob. 12RQCh. 5 - Prob. 13RQCh. 5 - Prob. 14RQCh. 5 - Prob. 1DQCh. 5 - Consider the “atmospheric windows” of Earth’s...Ch. 5 - The thickness of the plastic in plastic bags is...Ch. 5 - What is the wavelength of radio waves transmitted...Ch. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - H does the resolving power of the 5-rn telescope...Ch. 5 - If you build a telescope with a focal length of...Ch. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - Prob. 1LTLCh. 5 - The star images in the photo in Figure UN 5-4 are...Ch. 5 - The X-ray image in Figure UN 5-5 shows the remains...
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- What kind of visible-light and infrared telescopes on the ground are astronomers planning for the future? Why are they building them on the ground and not in space?arrow_forwardThe HST cost about $1.7 billion for construction and $300 million for its shuttle launch, and it costs $250 million per year to operate. If the telescope lasts for 20 years, what is the total cost per year? Per day? If the telescope can be used just 30% of the time for actual observations, what is the cost per hour and per minute for the astronomer’s observing time on this instrument? What is the cost per person in the United States? Was your investment in the Hubble Space telescope worth it?arrow_forwardH does the resolving power of the 5-rn telescope on Mount Palomar near San Diego compare with that of the 2.5-rn Hubble Space Telescope? Why does the HST generally still outperform the Palomar 5-rn telescope?arrow_forward
- How much more light can the James Webb Space Telescope (with its 6-m diameter mirror) gather than the Hubble Space Telescope (with a diameter of 2.4 m)?arrow_forwardThe SST's planned operating temperature is 5.5 K. At what wavelength (in micrometers, µm) does the telescope's own blackbody emission peak? How does this wavelength compare with the wavelength range in which the telescope is designed to operate?arrow_forwardThe large space telescope that has been placed into an Earth orbit has an aperture diameter of 1.4 meters. What angular resolution will this telescope achieve for visible light of wavelength 2 = 6.5 x 10-7 m? Write your answer in "seconds of arc".arrow_forward
- The Chandra X-Ray Observatory must operate in space because X-rays do not penetrate Earth's atmosphere. X-ray telescopes require the use of grazing incidence mirrors. X-rays are too dangerous to be allowed on the ground. It was built by NASA.arrow_forwardAstronauts observing from a space station need a telescope with a resolving power of 0.6 arc second at a wavelength of 530 nm and a magnifying power of 220. Design a telescope to meet their needs.What will its light-gathering power be, compared with a dark-adapted human eye? (Assume that the pupil of your eye can open to a diameter of about 0.8 cm in dark conditions.)(State the necessary primary diameter of the telescope, in m, and the ratio of the focal lengths below.)arrow_forwardspy satellite orbiting 410 km above Earth is supposedly capable of counting individual people in a crowd in visual-wavelength images. Assume that the satellite's cameras operate at a wavelength of 550 nm. Assume an average person has a size of 0.6 m as seen from above. Estimate the minimum telescope diameter that the satellite must carry. (Hint: Use The small-angle formula angular diameter (arc seconds) 2.06 105 = linear diameter distance to convert linear size to angular size.)arrow_forward
- What is the resolving power of a 25-cm (10-in.) telescope at a wavelength of 550 nm (in the middle of the visual band)?arrow_forwardWhat is the limit of resolution for a telescope lens with a diameter of 120 cm when it observes a star at a distance of 4 light-years? Use the wavelength of l = 550 nm in your calculations.arrow_forwardA space-based telescope can achieve a diffraction-limited angular resolution of 0.05" for red light (wavelength 700 nm). What would the resolution of the instrument be in the infrared, at wavelength 3.5 μm.arrow_forward
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