Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Question
Chapter 6, Problem 5CC
To determine
Whether a larger-diameter telescope lens increases or decreases the resolution of the image. A telescope with a larger-diameter lens or mirror is used for observing the distant planets and a telescope with a smaller diameter collects lesser light than a larger-diameter lens.
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A telescope with diameter of 300 m observes in the radio part of the EM spectrum. What is the theoretical separation distance that can be resolved on the surface of Jupiter with 3 cm radio waves? Assume the distance to Jupiter is 928 million km.
Consider a telescope with a primary mirror diameter of 10 inches compared to one which has a
primary mirror diameter of 15 inches. Assuming both are of excellent optical quality, the larger
telescope has ----
O one and a half times the light gathering power but worse resolution
O over twice the light gathering power and better resolution
O one and a half times the light gathering power and better resolution
O over twice the light gathering power but worse resolution
O the same light gathering power but much better reesolution
O the same light gathering power but much better resolution
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.)
Chapter 6 Solutions
Universe
Ch. 6 - Prob. 1CCCh. 6 - Prob. 2CCCh. 6 - Prob. 3CCCh. 6 - Prob. 4CCCh. 6 - Prob. 5CCCh. 6 - Prob. 6CCCh. 6 - Prob. 7CCCh. 6 - Prob. 8CCCh. 6 - Prob. 9CCCh. 6 - Prob. 10CC
Ch. 6 - Prob. 11CCCh. 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. 10QCh. 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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- 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_forwardMany 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_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_forward
- 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.)arrow_forwardYou 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.arrow_forwardWhat would be the equivalent single-mirror diameter of a telescope constructed from two separate 8-m mirrors?arrow_forward
- The Mars Reconnaissance Orbiter (MRO) flies at an average altitude of 280km above the Martian Surface. If its cameras have an angular resolution of 0.2 arc seconds, what is the size of the smallest objects that the MRO can detect on the Martian surface? Use the equation: S =x × d / 206265 arcseconds / radian , where S is the true size of the object, d is the distance from the detector to the object, and x is the angular size of the object. Your answer will be in km (you can ignore the radians unit (it should appear, but the equation made a simplifying assumption that dropped it out.arrow_forwardWhat is the limit of angular resolution for a 6.3-m telescope at a wavelength of 533nm?arrow_forwardWhat are the arguments for building the TMT telescope?arrow_forward
- The Hubble Space Telescope has a primary mirror with diameter 2.4 m. Suppose you were able to point it at Mars when the planct is at its closest point to the Earth in its orbit, which would be about 55.7 million km from the telescope. How close could two features on the Martian surface be and still be resolved (assume a wavelength in the middle of the visible spectrum - a number you should know at this point, at least approximately)?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_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
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