Horizons: Exploring the Universe (MindTap Course List)
14th Edition
ISBN: 9781305960961
Author: Michael A. Seeds, Dana Backman
Publisher: Cengage Learning
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Question
Chapter 5, Problem 10P
To determine
Minimum diameter of the telescope the satellite must carry.
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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.)
Can you please assist with Part 2 of 5?
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)?
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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- Estimate the angular resolutions of a radio interferometer with a 5000-km baseline, operating at a frequency of 5 GHz.arrow_forwardFor a human eye with a pupil diameter (aperture diameter D) of 0.005 meters, and a focal length of 0.022 meters, there will be a resolution limit due to diffraction at 0.6 microns (10^-6 meters) wavelength. If we space light-sensitive cells on the retina at this spacing, how many retina cells per meter (of retina) are there? cells/meter. Now suppose there are giants which are exactly twice the size of humans in each dimension. So giant eyes have pupils of 0.01 meters, and a focal length of 0.044 meters. How many retina cells per meter should the giants have? cells/meterarrow_forwardWhat is the resolving power of an 8-inch telescope (if necessary, you may assume λ=550 nm)? By the way, this is the aperture size of the telescopes we use in the outdoor labs. Will two stars 1 arcsecond apart appear as two separate stars or one big blob? In other words can the two stars be clearly resolved by this telescope?arrow_forward
- in the question: A spy satellite orbiting 600 km above Earth is supposedly capable of counting individual people in a crowd in visual- wavelength images. Assume that the middle of the visual wavelength band is at 550 nm . Assume an average person has a size of 0.8 m as seen from above. Estimate the minimum telescope diameter that the satellite must carry. The previous expert used 1,22 instead of 2.06 to convert to angular distance. I thinkn he has to use the small-angular formula.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_forwardTheoretically (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_forward
- H 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_forwardHow 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_forwardA series of optical telescopes produced an image that has a resolution of about 0.00350 arc second. What is the smallest diameter telescope that could theoretically resolve these features using light with a wavelength of 1.90 μm? (Note: 1arcsec=1/3600∘) Express your answer to three significant figures and include appropriate units.arrow_forward
- What is the diffraction limit of a 4 m telescope observing light at 550 nm? Answer in arc secondsarrow_forwardWhat is the approximate diffraction limit, in arc second, of a 85 meter diameter radio telescope observing 27 cm radiation?arrow_forwardEstimate the angular resolutions of a radio interferometer with a 50 m baseline, operating at a wavelength of 1 μm.arrow_forward
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