The Solar System
10th Edition
ISBN: 9781337672252
Author: The Solar System
Publisher: Cengage
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Chapter 6, Problem 8P
To determine
The resolving power of the telescopes and which one is better and the reason behind it.
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What 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?
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)?
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.)
Chapter 6 Solutions
The Solar System
Ch. 6 - Prob. 1RQCh. 6 - Prob. 2RQCh. 6 - Prob. 3RQCh. 6 - Prob. 4RQCh. 6 - Does red light have a higher or lower energy than...Ch. 6 - Prob. 6RQCh. 6 - Prob. 7RQCh. 6 - Prob. 8RQCh. 6 - Prob. 9RQCh. 6 - Prob. 10RQ
Ch. 6 - Prob. 11RQCh. 6 - Prob. 12RQCh. 6 - Prob. 13RQCh. 6 - Prob. 14RQCh. 6 - Prob. 15RQCh. 6 - Prob. 16RQCh. 6 - Prob. 17RQCh. 6 - Prob. 18RQCh. 6 - Prob. 19RQCh. 6 - Prob. 20RQCh. 6 - Prob. 21RQCh. 6 - Prob. 22RQCh. 6 - Prob. 23RQCh. 6 - Prob. 24RQCh. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - What is the frequency and wavelength of an FM...Ch. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 1SPCh. 6 - Prob. 2SPCh. 6 - Prob. 2LLCh. 6 - Prob. 3LLCh. 6 - Prob. 4LLCh. 6 - Prob. 5LLCh. 6 - Prob. 6LLCh. 6 - Prob. 7LLCh. 6 - Prob. 8LL
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- Telescopes can now be operated remotely from a warm room, but until about 25 years ago, astronomers worked at the telescope to guide it so that it remained pointed in exactly the right place. In a large telescope, like the Palomar 200-inch telescope, astronomers sat in a cage at the top of the telescope, where the secondary mirror is located, as shown in Figure 6.6. Assume for the purpose of your calculation that the diameter of this cage was 40 inches. What fraction of the light is blocked? 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_forwardThe dean of a university located near the ocean (who was not a science major in college) proposes building an infrared telescope right on campus and operating it in a nice heated dome so that astronomers will be comfortable on cold winter nights. Criticize this proposal, giving your reasoning.arrow_forwardWhen astronomers discuss the apertures of their telescopes, they say bigger is better. Explain why.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_forwardWhat 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.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
- You are using a telescope is to resolve two distant stars as well as possible. Which of the following modifications will increase the resolution of the telescope? Question 8 options: Use a filter to filter out all but the red light. Use a filter to filter out all but the blue light. Use a lens of smaller diameter Use a lens of larger diameter None of these modifications will impact the resolution of the telescope.arrow_forwardThe 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.arrow_forwardWhich of the following pairings of telescope diameter and observational wavelength would give the best resolution images of an object with a telescope? Explain why you chose the telescope and wavelength combination you did, and calculate the angular resolution you could achieve with it. It would be best to observe with... Option 1: a 10 m diameter optical telescope on the ground with λ= 550 nm Option 2: a 2.4 m diameter optical telescope in space with λ=500 nm Option 3: a 100 m radio telescope on the ground with λ=100 cmarrow_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_forwardYou wish to observe an astronomical object whose spectrum peaks in the UV. This object is bright and you want to study its absorption lines, so you need a detailed spectrum. Please describe the type of telescope (refracting vs reflecting) you would want to use as well as where it should be located for best effect. You should also consider if you need a large telescope or a small one would suffice.arrow_forwarda) Describe what is meant by the term Point Spread Function (PSF), explain the relationship between the PSF and the aperture (entrance pupil) of a telescope. You should refer to the ideas of diffraction and Fourier Optics in your answer. b) Determine the plate scale and theoretical resolving power at a wavelength of 380 x 10-9 m of a telescope with 2 m aperture diameter and focal length of 4m.arrow_forward
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