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 8Q
To determine
The meaning of chromatic aberration.
The kind of telescopes for which chromatic aberration occurs.
The method by which chromatic aberration can be corrected.
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Can you please assist with Part 2 of 5?
What 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.
The telescope of a spy satellite is reputed to be able to resolve objects 9 cm apart from an altitude of 180 km above the surface of Earth.
1) What is the diameter, in meters, of the telescope’s aperture, if its resolution is limited only by diffraction effects? Take 550 nm for the wavelength of light.
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
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- People are often bothered when they discover that reflecting telescopes have a second mirror in the middle to bring the light out to an accessible focus where big instruments can be mounted. “Don’t you lose light?” people ask. Well, yes, you do, but there is no better alternative. You can estimate how much light is lost by such an arrangement. The primary mirror (the one at the bottom in Figure 6.6) of the Gemini North telescope is 8 m in diameter. The secondary mirror at the top is about 1 m in diameter. Use the formula for the area of a circle to estimate what fraction of the light is blocked by the secondary mirror. Figure 6.6 Focus Arrangements for Reflecting Telescopes. Reflecting telescopes have different options for where the light is brought to a focus. With prime focus, light is detected where it comes to a focus after reflecting from the primary mirror. With Newtonian focus, light is reflected by a small secondary mirror off to one side, where it can be detected (see also Figure 6.5). Most large professional telescopes have a Cassegrain focus in which light is reflected by the secondary mirror down through a hole in the primary mirror to an observing station below the telescope.arrow_forwardHow much more light can be gathered by a telescope that is 8 m in diameter than by your fully dark-adapted eye at 7 mm?arrow_forwardHow can the location of the dust particles in the optical system be determined?arrow_forward
- 11:55 phys.libretexts.org Submit 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? How can we help VIEW Submit %Darrow_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_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
- The Keck Telescope (on Mauna Kea, Hawaii) has an aperture D = 10.0 m. Its Cassegrain focus has f/15. What is the focal length and plate scale?arrow_forwardThe 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_forwardWhat is the angular resolution limit (degrees) set by diffraction for the 224-cm mirror diameter telescope (560 nm)?arrow_forward
- The 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_forwardWhat is the resolving power of a 26 cm telescope at a wavelength of 550 nm? What do two stars 1.5 arcseconds apart look like through this telescope? Most of Galileo’s telescopes were only about 2 cm in diameter. Should he have been able to resolve the two stars mentioned?arrow_forwardWhat is bandwidth in an optical instrument? How does it relate to resolution and noise in an optical instrument?arrow_forward
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