Physics
7th Edition
ISBN: 9780321625915
Author: Douglas C. Giancoli
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 25, Problem 87GP
You want to design a spy satellite to photograph license plate numbers. Assuming it is necessary to resolve points separated by 5 cm with 550-nm light, and that the satellite orbits at a height of 130 km, what minimum lens aperture (diameter) is required?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Assume that a spy satellite in orbit carries a telescope that can resolve objects on the ground as small as the width of a car’s license plate.
If the satellite is in orbit at 400 kmkm above the earth’s surface (which is typical for orbiting telescopes) and it focuses light of wavelength 500 nmnm , what minimum diameter of the mirror (or objective lens) would be needed (Take the width of a typical license plate to be about 30 cmcm )?
Express your answer in centimeters.
Estimate the linear separation of two objects on Mars that can just be resolved under ideal conditions by an observer on Earth (a) using the naked eye and (b) using the 200 in. (=5.1 m) Mount Palomar telescope. Use the following data: distance to Mars = 8.0 * 10^7 km, diameter of pupil = 5.0 mm, wavelength of light = 550 nm.
You want to design a spy satellite to photograph licenseplate numbers. Assuming it is necessary to resolve pointsseparated by 5 cm with 550-nm light, and that the satelliteorbits at a height of 130 km, what minimum lens aperture(diameter) is required?
Chapter 25 Solutions
Physics
Ch. 25 - Prob. 1OQCh. 25 - Prob. 2OQCh. 25 - Prob. 1QCh. 25 - Prob. 2QCh. 25 - Prob. 3QCh. 25 - Prob. 4QCh. 25 - Will a nearsighted person who wears corrective...Ch. 25 - Prob. 6QCh. 25 - Prob. 7QCh. 25 - Prob. 8Q
Ch. 25 - Prob. 9QCh. 25 - Prob. 10QCh. 25 - Prob. 11QCh. 25 - Prob. 12QCh. 25 - Explain why chromatic aberration occurs for thin...Ch. 25 - Prob. 14QCh. 25 - Prob. 15QCh. 25 - Prob. 16QCh. 25 - Prob. 17QCh. 25 - Prob. 18QCh. 25 - Prob. 19QCh. 25 - Prob. 20QCh. 25 - The image of a nearby object formed by a camera...Ch. 25 - Prob. 2MCQCh. 25 - Prob. 3MCQCh. 25 - Prob. 4MCQCh. 25 - Prob. 5MCQCh. 25 - Prob. 6MCQCh. 25 - Prob. 7MCQCh. 25 - Prob. 8MCQCh. 25 - Prob. 9MCQCh. 25 - Prob. 10MCQCh. 25 - Prob. 11MCQCh. 25 - Prob. 12MCQCh. 25 - Prob. 13MCQCh. 25 - Prob. 1PCh. 25 - Prob. 2PCh. 25 - Prob. 3PCh. 25 - Prob. 4PCh. 25 - Prob. 5PCh. 25 - Prob. 6PCh. 25 - Prob. 7PCh. 25 - Prob. 8PCh. 25 - If a 135-mm telephoto lens is designed to cover...Ch. 25 - Prob. 10PCh. 25 - Prob. 11PCh. 25 - A person struggles to read by holding a book at...Ch. 25 - Prob. 13PCh. 25 - An eye is corrected by a - 5.50-D lens, 2.0 cm...Ch. 25 - Prob. 15PCh. 25 - Prob. 16PCh. 25 - A person has a far point of 14 cm. What power...Ch. 25 - Prob. 18PCh. 25 - Prob. 19PCh. 25 - Prob. 20PCh. 25 - Prob. 21PCh. 25 - Prob. 22PCh. 25 - Prob. 23PCh. 25 - Prob. 24PCh. 25 - Prob. 25PCh. 25 - Prob. 26PCh. 25 - Prob. 27PCh. 25 - A magnifying glass with a focal length of 9.2 cm...Ch. 25 - Prob. 29PCh. 25 - Prob. 30PCh. 25 - Prob. 31PCh. 25 - Prob. 32PCh. 25 - A 7.0x binocular has 3.5-cm-focal-length...Ch. 25 - Prob. 34PCh. 25 - 35. (II) An astronomical telescope has its two...Ch. 25 - 36. (II) A Galilean telescope adjusted for a...Ch. 25 - Prob. 37PCh. 25 - Prob. 38PCh. 25 - Prob. 39PCh. 25 - Prob. 40PCh. 25 - Prob. 41PCh. 25 - Prob. 42PCh. 25 - Prob. 43PCh. 25 - Prob. 44PCh. 25 - Prob. 45PCh. 25 - A microscope has a 14.0x eyepiece and a 60.0x...Ch. 25 - Repeat Problem 46 assuming that the final image is...Ch. 25 - Prob. 48PCh. 25 - The eyepiece of a compound microscope has a focal...Ch. 25 - Prob. 50PCh. 25 - An achromatic lens is made of two very thin...Ch. 25 - Prob. 52PCh. 25 - Prob. 53PCh. 25 - Prob. 54PCh. 25 - Two stars 18 light-years away are barely resolved...Ch. 25 - Prob. 56PCh. 25 - Prob. 57PCh. 25 - Prob. 58PCh. 25 - Prob. 59PCh. 25 - Prob. 60PCh. 25 - Prob. 61PCh. 25 - Prob. 62PCh. 25 - Prob. 63PCh. 25 - Prob. 64GPCh. 25 - Prob. 65GPCh. 25 - Prob. 66GPCh. 25 - Prob. 67GPCh. 25 - Prob. 68GPCh. 25 - Prob. 69GPCh. 25 - Prob. 70GPCh. 25 - Prob. 71GPCh. 25 - Prob. 72GPCh. 25 - Prob. 73GPCh. 25 - Prob. 74GPCh. 25 - Prob. 75GPCh. 25 - Prob. 76GPCh. 25 - Prob. 77GPCh. 25 - Prob. 78GPCh. 25 - Prob. 79GPCh. 25 - Prob. 80GPCh. 25 - Prob. 81GPCh. 25 - Prob. 82GPCh. 25 - Prob. 83GPCh. 25 - Prob. 84GPCh. 25 - Prob. 85GPCh. 25 - Prob. 86GPCh. 25 - You want to design a spy satellite to photograph...Ch. 25 - Given two 12-cm-focal-length lenses, you attempt...Ch. 25 - Prob. 89GP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- How far apart must two objects be on the moon to be resolvable by the 8.1-m-diameter Gemini North telescope at Mauna Kea, Hawaii, if only the diffraction effects of the telescope aperture limit the resolution? Assume 550 nm for the wavelength of light and 400,000 km for the distance to the moon.arrow_forwardA camera uses a lens with aperture 2.0 cm. What is the angular resolution of a photograph taken at 700 nm wavelength? Can it resolve the millimeter markings of a ruler placed 35 m away?arrow_forwardOn a bright clear day, you are at the top of a mountain and looking at a city 12 km away. There are two tall towers 20.0 m apart in the city. Can your eye resolve the two towers if the diameter of the pupil is 4.0 mm? If not, what should be the minimum magnification power of the telescope needed to resolve the two towers? In your calculations use 550 nm for the wavelength of the light.arrow_forward
- The angular resolution of a radio telescope is to be 0.100 when the incident waves have a wavelength of 3.00 mm. What minimum diameter is required for the telescopes receiving dish?arrow_forwardCheck Your Understanding What is the angular resolution of the Arecibo telescope shown in Figure 4.20 when operated at 21-cm wavelength? How does it compare to the resolution of the Hubble Telescope? Figure 4.20 A 305-m-diameter paraboloid at Arecibo in Puerto Rico is lined with reflective material, making it into a radio telescope. It is the largest curved focusing dish in the world. Although D for Arecibo is much larger than for the Hubble Telescope, it detects radiation of a much longer wavelength and its diffraction limit is significantly poorer than Hubble’s. The Arecibo telescope is still very useful, because important information is carried by radio waves that is not carried by visible light. (credit: Jeff Hitchcock)arrow_forwardAn amateur astronomer wants to build a telescope with adiffraction limit that will allow him to see if there are people onthe moons of Jupiter.(a) What diameter mirror is needed to be able to see 1.00 mdetail on a Jovian Moon at a distance of 7.50×108km fromEarth? The wavelength of light averages 600 nm.(b) What is unreasonable about this result?(c) Which assumptions are unreasonable or inconsistent?arrow_forward
- Estimate the linear separation (in kilometers) of two objects at a distance of 9.6 × 108 km that can just be resolved by an observer on Earth (a) using the naked eye and (b) using a telescope with a 6.2-m diameter mirror. Use the following data: diameter of pupil = 5.0 mm; wavelength of light = 550 nm.arrow_forwardEstimate the linear separation (in kilometers) of two objects at a distance of 1.9 × 10° km that can just be resolved by an observer on Earth (a) using the naked eye and (b) using a telescope with a 7.4-m diameter mirror. Use the following data: diameter of pupil = 5.0 mm; wavelength of light = 550 nm. %3D (a) Number i 2.5E8 Units km (b) Number i 1.7E5 Units kmarrow_forwardEstimate the linear separation (in kilometers) of two objects at a distance of 1.4 x 106 km that can just be resolved by an observer on Earth (a) using the naked eye and (b) using a telescope with a 5.4-m diameter mirror. Use the following data: diameter of pupil = 5.0 mm; wavelength of light = 550 nm. (a) Number i Units (b) Number i Unitsarrow_forward
- A new optical imaging satellite is being designed for the Maritime Domain Awareness mission. The satellite will be placed in a circular orbit at 5000 km altitude and be able to look off of nadir, giving a maximum range to the target of 7000 km. The desired resolution is 3 meters. A) Assuming the sensor will operate in the SWIR (A = 1.5 µm), estimate the required diameter of the primary aperture to achieve the desired resolution at the maximum range. B) If the sensor uses a linear detector array with a 15 μm pixel pitch, what focal length is required to achieve the desired resolution at maximum range? C) If the satellite is in a circular orbit at an altitude of 5000 km, what is its speed? Express your answer in km/s to two significant digits.arrow_forwardA new optical imaging satellite is being designed for the Maritime Domain Awareness mission. The satellite will be placed in a circular orbit at 5000 km altitude and be able to look off of nadir, giving a maximum range to the target of 7000 km. The desired resolution is 3 meters. What is the satellite's speed? Express answer in km/s to two significant digits.arrow_forward(a) What is the approximate size of the smallest object on the Earth that astronauts can resolve by eye when they are orbiting 259 km above the Earth? Assume λ=500 nm and a pupil diameter of 5.00 mm. (b) Draw a picture illustrating the situation in part (a).arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Convex and Concave Lenses; Author: Manocha Academy;https://www.youtube.com/watch?v=CJ6aB5ULqa0;License: Standard YouTube License, CC-BY