Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 4, Problem 25QAP
To determine
The reason why it is difficult to build the refractor having aperture twice the largest refractor.
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(a) How far apart must two objects be on the moon to be resolved by the human eye? Take the diameter of the pupil of the eye to be 6 mm, the wavelength
of the light to be 500 nm, and the distance from the earth to the moon to be 380 000 km.
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Units
(b) How far apart must the objects be on the moon be to be resolved by a telescope that has a mirror diameter of 6 m?
Number
Units
A Keplerian telescope has an objective lens of diameter 12 cm and focal length +90 cm, and
an eyepiece of focal length +8 mm. It is used to observe Jupiter which has a true diameter of
140 000 km and a distance of 750 million km from Earth. Calculate the apparent angular diameter
of Jupiter as seen through the telescope; give your answer in degrees.
The Hiltner Telescope at the MDM Observatory (on Kitt Peak, Arizona) has an aperture D = 2.4m. Its Cassegrain focus has an f-number f/7. What is the focal length F and plate scale s?
The Mayall telescope at Kitt Peak National Observatory (also on Kitt Peak) has an aperture D = 4.0m. Its prime focus has an f-number f/2.7, its Cassegrain focus has f/8 and its Coudé focus has f/160. What is the focal length and plate scale for each of these three foci?
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?
Chapter 4 Solutions
Understanding Our Universe
Ch. 4.1 - Prob. 4.1CYUCh. 4.2 - Prob. 4.2CYUCh. 4.3 - Prob. 4.3CYUCh. 4 - Prob. 1QAPCh. 4 - Prob. 2QAPCh. 4 - Prob. 3QAPCh. 4 - Prob. 4QAPCh. 4 - Prob. 5QAPCh. 4 - Prob. 6QAPCh. 4 - Prob. 7QAP
Ch. 4 - Prob. 8QAPCh. 4 - Prob. 9QAPCh. 4 - Prob. 10QAPCh. 4 - Prob. 11QAPCh. 4 - Prob. 12QAPCh. 4 - Prob. 13QAPCh. 4 - Prob. 14QAPCh. 4 - Prob. 15QAPCh. 4 - Prob. 16QAPCh. 4 - Prob. 17QAPCh. 4 - Prob. 18QAPCh. 4 - Prob. 19QAPCh. 4 - Prob. 20QAPCh. 4 - Prob. 21QAPCh. 4 - Prob. 22QAPCh. 4 - Prob. 23QAPCh. 4 - Prob. 24QAPCh. 4 - Prob. 25QAPCh. 4 - Prob. 26QAPCh. 4 - Prob. 27QAPCh. 4 - Prob. 28QAPCh. 4 - Prob. 29QAPCh. 4 - Prob. 30QAPCh. 4 - Prob. 31QAPCh. 4 - Prob. 32QAPCh. 4 - Prob. 33QAPCh. 4 - Prob. 34QAPCh. 4 - Prob. 35QAPCh. 4 - Prob. 36QAPCh. 4 - Prob. 37QAPCh. 4 - Prob. 38QAPCh. 4 - Prob. 39QAPCh. 4 - Prob. 40QAPCh. 4 - Prob. 41QAPCh. 4 - Prob. 42QAPCh. 4 - Prob. 43QAPCh. 4 - Prob. 44QAPCh. 4 - Prob. 45QAP
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- The Mayall telescope at Kitt Peak National Observatory (also on Kitt Peak) has an aperture D = 4.0m. Its prime focus has an f-number f/2.7, its Cassegrain focus has f/8 and its Coudé focus has f/160. What is the focal length and plate scale for each of these three foci?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_forwardWhat is the field of view when a CCD detector of dimensions 15 mm x 15 mm is used with a telescope that has a diameter of 1 metre and a focal ratio f/10? Express your answer in arcseconds x arcseconds. Choose the answer below that best matches your answer. Select one: О а. 68 x 68 оb. 698 х 698 С. 125 х 125 O d. 243 x 243 е. 309 х 309arrow_forward
- Which of the following items are usually seen as reasons why reflecting telescopes are more commonly used by astronomers than refracting telescopes? Select all that apply. Select one or more alternatives: Reflecting telescopes are less likely to distort images by treating different wavelengths of the light in different ways. Reflecting telescopes are easier to protect, because their mirrored surfaces are covered by glass. Reflecting telescopes are more easily pointed at specific objects. Large reflectors are easier to build than refractors. Reflecting telescopes were invented first, and have always been the primary tool of astronomers.arrow_forwardA binary star system has an angular separation between the two stars of 2.9 x 10-5 radians. If 2 = 6.6 x 10-7 m, what is the smallest aperture (diameter) telescope that may be used to resolve the two stars? Write your answer in cm.arrow_forward(a) What is the angular separation of two stars if their images are barely resolved by the Thaw refracting telescope at the Allegheny Observatory in Pittsburgh? The lens diameter is 76 cm and its focal length is 14 m. Assume l = 550 nm. (b) Find the distance between these barely resolved stars if each of them is 10 light-years distant from Earth. (c) For the image of a single star in this telescope, find the diameter of the first dark ring in the diffraction pattern, as measured on a photographic plate placed at the focal plane of the telescope lens. Assume that the structure of the image is associated entirely with diffraction at the lens aperture and not with lens “errors.”arrow_forward
- The Thirty Meter Telescope is a new telescope proposed for the top of the volcano Maunakea that is opposed by many native Hawaiians. Its circular mirror will be 30 m in diameter. In December 2028, Mars will be at its closest approach to Earth (this happens every three years). An astronomer has predicted that, when finished, the telescope will be able to resolve objects that are approximately 2.0 km across on Mars assuming perfect viewing conditions. Approximately how far away is Mars from the Earth when this happens? The dominate wavelengths of visible light coming from Mars are in the range of 500 nm to 700 nm.arrow_forwardThe primary optical element of the Hubble Space Telescope (HST) is 3.2 m in diameter and has a focal length of 62 m. (Treat it as a simple, single lens for this homework) The telescope is aimed at Jupiter and the collected light is focused onto a sensitive Charge Coupled Device (CCD) detector, similar to what is in a digital camera. Each pixel in the detector is a 21 μm x 21 μm square, and the full CCD is 4096 x 4096 pixels. Thus the CCD is about one square inch in size. The HST is in orbit very close to the Earth (compared to other distances in the Solar system). Size of Jupiter: 139,820 km in diameter Distance to Jupiter: 778 million km How many pixels in diameter is Jupiter's image on CCD?arrow_forwardIf you want to achieve a magnification of about 110x to 125x in the M603 telescope, what eyepiece do you need to use? a The 5mm eyepiece b The 7mm eyepiece c The 24mm eyepiece d The 31mm eyepiece e The 13mm eyepiecearrow_forward
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