Loose Leaf For Explorations: Introduction To Astronomy
9th Edition
ISBN: 9781260432145
Author: Thomas T Arny, Stephen E Schneider Professor
Publisher: McGraw-Hill Education
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Question
Chapter 5, Problem 6P
To determine
Collecting area of the 27 telescopes and diameter of the telescope
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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 want to create a telescope with a resolving powe
of 0.100 arc seconds at a wavelength of 550 nm. Wha
diameter (in m) do you need?
If you want to increase the light gathering power by a
factor of 10, by what factor does the diameter need to
increase?
What would the new resolving power be (in arc
seconds)?
the SETI project's Allen Telescope Array will have 350 radio dishes, each with an individual diameter of 6 m, spread out over a circle whose diameter is 1 km. What would this array's spatial resolution be when it operates at 6,000 MHz?
Chapter 5 Solutions
Loose Leaf For Explorations: Introduction To Astronomy
Ch. 5 - What is light-gathering power? How does it affect...Ch. 5 - Prob. 2QFRCh. 5 - Prob. 3QFRCh. 5 - Prob. 4QFRCh. 5 - What is the purpose of an interferometer?Ch. 5 - Prob. 6QFRCh. 5 - Why do astronomers put X ray observatories in...Ch. 5 - Prob. 8QFRCh. 5 - Prob. 9QFRCh. 5 - Prob. 10QFR
Ch. 5 - Apart from magnification, how do binoculars help...Ch. 5 - Prob. 2TQCh. 5 - Prob. 3TQCh. 5 - Is it better to have a telescope with a high...Ch. 5 - Prob. 5TQCh. 5 - Prob. 6TQCh. 5 - Prob. 7TQCh. 5 - Prob. 8TQCh. 5 - Prob. 1PCh. 5 - Estimate your eyes resolving power by drawing two...Ch. 5 - Can the unaided human eye resolve a crater on the...Ch. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 1TYCh. 5 - Prob. 2TYCh. 5 - Prob. 3TYCh. 5 - Prob. 4TYCh. 5 - Prob. 5TYCh. 5 - Prob. 6TYCh. 5 - Prob. 7TYCh. 5 - Prob. 8TYCh. 5 - Prob. 9TY
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- Theoretically (that is, if seeing were not an issue), the resolution of a telescope is inversely proportional to its diameter. How much better is the resolution of the ALMA when operating at its longest baseline than the resolution of the Arecibo telescope?arrow_forwardIn broad daylight, the size of your pupil is typically 3 mm. In dark situations, it expands to about 7 mm. How much more light can it gather?arrow_forwardHow 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_forward
- How much more light can the Keck telescope (with its 10-m diameter mirror) gather than an amateur telescope whose mirror is 25 cm (0.25 m) across?arrow_forwardEstimate the angular resolutions of a radio interferometer with a 5000-km baseline, operating at a frequency of 5 GHz.arrow_forwardWhat 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_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_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_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
- The divergence of the laser beam after sending it through a telescope is 10 rad What is the diameter of the spot formed on the moon surface if the laser is directed towards the earth? (The distance from earth to the moon is (3.8 x10 km) (the laser beam diameter is 2mm).arrow_forwardWhat would be the equivalent single-mirror diameter of a telescope constructed from two separate 10-m mirrors?arrow_forwardAstronauts 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.)arrow_forward
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