Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 6, Problem 4Q
To determine
The theory of refracting telescope and the dimension of telescope which determine its light gathering power and the dimension determine the magnification.
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Astronauts 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. (State the necessary primary diameter of the telescope, in m, and the ratio of the focal lengths below.)
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.)
Astronauts observing from a space station need a telescope with a resolving power of 0.9 arc seconds at a wavelength of 540 nm and a magnifying power of 260. Design a telescope to meet their needs. (State the necessary primary diameter of the telescope, in m, and the ratio of the focal lengths below. Also, 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.)
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Both the Keck Telescope and
Hubble Space Telescope (HST)
observe visible light. Given a
typical visible light wavelength of
500 nm, and the diameters of 10 m
for Keck and 2.4 m for Hubble,
which telescope do you think
would have better angular
resolution? Based on the equation
for angular resolution, what is the
resolution of Keck at 500 nm? Of
HST?
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Chapter 6 Solutions
Universe: Stars And Galaxies
Ch. 6 - Prob. 1QCh. 6 - Prob. 2QCh. 6 - Prob. 3QCh. 6 - Prob. 4QCh. 6 - Prob. 5QCh. 6 - Prob. 6QCh. 6 - Prob. 7QCh. 6 - Prob. 8QCh. 6 - Prob. 9QCh. 6 - Prob. 10Q
Ch. 6 - Prob. 11QCh. 6 - Prob. 12QCh. 6 - Prob. 13QCh. 6 - Prob. 14QCh. 6 - Prob. 15QCh. 6 - Prob. 16QCh. 6 - Prob. 17QCh. 6 - Prob. 18QCh. 6 - Prob. 19QCh. 6 - Prob. 20QCh. 6 - Prob. 21QCh. 6 - Prob. 22QCh. 6 - Prob. 23QCh. 6 - Prob. 24QCh. 6 - Prob. 25QCh. 6 - Prob. 26QCh. 6 - Prob. 27QCh. 6 - Prob. 28QCh. 6 - Prob. 29QCh. 6 - Prob. 30QCh. 6 - Prob. 31QCh. 6 - Prob. 32QCh. 6 - Prob. 33QCh. 6 - Prob. 34QCh. 6 - Prob. 35QCh. 6 - Prob. 36QCh. 6 - Prob. 37QCh. 6 - Prob. 38QCh. 6 - Prob. 39QCh. 6 - Prob. 40QCh. 6 - Prob. 41QCh. 6 - Prob. 42QCh. 6 - Prob. 43QCh. 6 - Prob. 44QCh. 6 - Prob. 45Q
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- Many decades ago, the astronomers on the staff of Mount Wilson and Palomar Observatories each received about 60 nights per year for their observing programs. Today, an astronomer feels fortunate to get 10 nights per year on a large telescope. Can you suggest some reasons for this change?arrow_forwardAstronauts observing from a space station need a telescope with a resolving power of 0.4 arc second at a wavelength of 530 nm and a magnifying power of 300. Design a telescope to meet their needs. (State the necessary primary diameter of the telescope, in m, and the ratio of the focal lengths below.) Dtelescope= m Feyepiece Fprimary = 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.) LGPtelescope LGPeye =arrow_forwardAstronauts observing from a space station need a telescope with a resolving power of 0.9 arc seconds at a wavelength of 540 bam and a magnifying power of 260. Design a telescope to meet their needs. (State the necessary primary diameter of the telescope, in m, and the ratio of the focal lengths below. Also, 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.)arrow_forward
- Astronauts 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_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_forwardA telescope is focused to infinity. The lenses of the telescope are +1.5 and +15 diopters. What is the length of this telescope?arrow_forward
- what advantages does a catadioptric telescope have over a reflecting telescope? what is its disadvantages?arrow_forwardA charged-couple device (CCD) detector ismounted at the focus of an f/7 reflecting telescope with a D= 50 cm mirror. The CCD chip contains 1024×1024 pixels, with each square pixel being 10μm on a side. How many separate exposures would be required to cover the entire celestial sphere (4π steradians)?arrow_forwardQuite often advertisements appear for telescopes that extol their magnifying power. a) Is this a good criterion for evaluating telescopes? Explain your answer. b) What would be a better criterion for evaluating telescopes? Explain your answer.arrow_forward
- spy 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_forwardAstronauts observing from a space station need a telescope with a resolving power of 0.5 arc second at a wavelength of 570 nm and a magnifying power of 280. Design a telescope to meet their needs. (State the necessary primary diameter of the telescope, in m, and the ratio of the focal lengths below.)arrow_forwardIn 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 timesarrow_forward
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