Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 32, Problem 47P
NASA asks you to assess the feasibility of a single-mirror space-based optical telescope that could resolve an Earth-size planet 5 light-years away. What do you conclude?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A star is located 4.2441 ly away. There is a planet orbiting this star with an orbital radius of 0.0485 AU (AU stands for astronomical unit - the average distance between Earth & the Sun). Fill in the table by determining the minimum diameter the objective of a telescope would need to be in order to resolve the planet from the star at the stated wavelengths. 1 ly = 9.461 × 1015 m & 1 AU = 1.496 × 1011 m.
?(nm)
200
400
600
800
1000
minimum diameter of objective(m)
?
?
?
?
?
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.)
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
%D
Chapter 32 Solutions
Essential University Physics
Ch. 32.1 - Laser light is split into two beams, one of which...Ch. 32.2 - If you increase the slit separation in a two-slit...Ch. 32.4 - If you photographed the soap film in Fig. 32.14...Ch. 32.5 - A classmate down the hall is playing obnoxiously...Ch. 32.6 - You're a biologist trying to resolve details of...Ch. 32 - A prism bends blue light more than red. Is the...Ch. 32 - Prob. 2FTDCh. 32 - Prob. 3FTDCh. 32 - Why don't you see interference effects between the...Ch. 32 - You can hear around corners, but you cant see...
Ch. 32 - In deriving the intensity in double-slit...Ch. 32 - The primary maxima in multiple-slit interference...Ch. 32 - Prob. 8FTDCh. 32 - Sketch roughly the diffraction pattern you would...Ch. 32 - A double-slit system is used to measure the...Ch. 32 - A double-slit experiment with d = 0.025mm and L =...Ch. 32 - A double-slit experiment has slit spacing 0.12 mm....Ch. 32 - The interference pattern from two slits separated...Ch. 32 - The 546-nm green line of gaseous mercury falls on...Ch. 32 - In a five-slit system, how many minima lie between...Ch. 32 - In a three-slit system, the first minimum occurs...Ch. 32 - A five-slit system with 7.5-m slit spacing is...Ch. 32 - Green light at 520 nm is diffracted by a grating...Ch. 32 - Find the minimum thickness of a soap film (n =...Ch. 32 - Light of unknown wavelength shines on a precisely...Ch. 32 - Monochromatic light shines on a glass wedge with...Ch. 32 - White light shines on a 75.0-nm-thick sliver of...Ch. 32 - For the soap film described in Conceptual Example...Ch. 32 - For what ratio of slit width to wavelength will...Ch. 32 - Light with wavelength 633 nm is incident on a...Ch. 32 - Youre inside a metal building that blocks radio...Ch. 32 - Find the intensity as a fraction of the central...Ch. 32 - Prob. 28ECh. 32 - Find the minimum telescope aperture that could...Ch. 32 - Whats the longest wavelength of light you could...Ch. 32 - In bright light, the human eyes pupil diameter is...Ch. 32 - Prob. 32ECh. 32 - Prob. 33ECh. 32 - Prob. 34ECh. 32 - Prob. 35ECh. 32 - Prob. 36ECh. 32 - Example 32.5: An asteroid as small as 35 m in...Ch. 32 - Prob. 38ECh. 32 - Prob. 39ECh. 32 - Find the angular position of the second-order...Ch. 32 - A double-slit experiment has slit spacing 0.035nm,...Ch. 32 - A tube of glowing gas emits light at 550 nm and...Ch. 32 - On the screen of a multiple-slit system, the...Ch. 32 - Youre designing a spectrometer whose...Ch. 32 - What order is necessary to resolve 647.98-nm and...Ch. 32 - A thin film of toluene (n = 1.49) floats on water....Ch. 32 - NASA asks you to assess the feasibility of a...Ch. 32 - In the second-order spectrum from a diffraction...Ch. 32 - Prob. 49PCh. 32 - As a soap bubble with n = 1.333 evaporates and...Ch. 32 - An oil film with refractive index 1.25 floats on...Ch. 32 - The table below lists the angular positions of the...Ch. 32 - Two perfectly flat glass plates are separated at...Ch. 32 - An air wedge like that of Fig. 32.28 shows N...Ch. 32 - A Michelson interferometer uses light from glowing...Ch. 32 - Find the wavelength of light used in a Michelson...Ch. 32 - One arm of a Michelson interferometer is 42.5 cm...Ch. 32 - Prob. 58PCh. 32 - Prob. 59PCh. 32 - Suppose one of the 10-m-diameter Keck Telescopes...Ch. 32 - A camera has an f/1.4 lens, meaning the ratio of...Ch. 32 - The CIA wants your help identifying individual...Ch. 32 - While driving at night, your eyes irises dilate to...Ch. 32 - Under the best conditions, atmospheric turbulence...Ch. 32 - Prob. 65PCh. 32 - An air wedge like that of Fig. 32.28 displays...Ch. 32 - A thin-walled glass tube of length L containing a...Ch. 32 - Light is incident on a diffraction grating at...Ch. 32 - The intensity of the single-slit diffraction...Ch. 32 - Youre on an international panel charged with...Ch. 32 - Youre investigating an oil spill for your state...Ch. 32 - If the separation of two telescopes comprising an...Ch. 32 - If the separation of two telescopes comprising an...Ch. 32 - If a point source is located directly above a...Ch. 32 - If a point source is located on a line at 45 to...
Additional Science Textbook Solutions
Find more solutions based on key concepts
What is the volume of one mole of air, at room temperature and 1 atm pressure?
An Introduction to Thermal Physics
The acceleration of the rocket.
Physics (5th Edition)
Choose the best answer to each of the following. Explain your reasoning. Saturns many moons affect its rings pr...
The Cosmic Perspective Fundamentals (2nd Edition)
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective
(a) Show that .
[Hint: Use integration by parts.]
(b) Let be the step function: . (1.95)
Show that .
Introduction to Electrodynamics
The electromagnetic spectrum of light is often arranged in terms of frequency. Which one of the following has t...
Lecture- Tutorials for Introductory Astronomy
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
- 1. If the cross-track angular resolution of a satellite sensor at nadir is given by 1.4 /D where is the wavelength being observed and D is the aperture size of the sensor, what is the cross-track spatial resolution on the ground if D = 80 cm and the satellite sensor is at an orbital height of 600 km? (a) for an infrared sensor observing wavelengths at 20 microns? (b) for a microwave sensor observing wavelengths at 1.5 cm? =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_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_forward
- A space-based telescope can achieve a diffraction-limited angular resolution of 0.05" for red light (wavelength 700 nm). What would the resolution of the instrument be in the infrared, at wavelength 3.5 μm.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_forwardin the question: A spy satellite orbiting 600 km above Earth is supposedly capable of counting individual people in a crowd in visual- wavelength images. Assume that the middle of the visual wavelength band is at 550 nm . Assume an average person has a size of 0.8 m as seen from above. Estimate the minimum telescope diameter that the satellite must carry. The previous expert used 1,22 instead of 2.06 to convert to angular distance. I thinkn he has to use the small-angular formula.arrow_forward
- A charged-couple device (CCD) detector ismounted at the focus of an f/7 reflecting telescope with a D= 50 cm mirror. The CCD chip contains 1024×1024 pixels, with each square pixel being 10μm on a side. How many separate exposures would be required to cover the entire celestial sphere (4π steradians)?arrow_forwardThe nearest neighboring star to the Sun is about 4 lightyears away. If a planet happened to be orbiting this star atan orbital radius equal to that of the Earth–Sun distance,what minimum diameter would an Earth-based telescope’saperture have to be in order to obtain an image that resolvedthis star–planet system? Assume the light emitted by thestar and planet has a wavelength of 550 nm.arrow_forwardThe 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_forward
- 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.)arrow_forwardEstimate the angular resolutions of a radio interferometer with a 5000-km baseline, operating at a frequency of 5 GHz.arrow_forwardTheoretically (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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- AstronomyPhysicsISBN:9781938168284Author:Andrew Fraknoi; David Morrison; Sidney C. WolffPublisher:OpenStaxStars and Galaxies (MindTap Course List)PhysicsISBN:9781337399944Author:Michael A. SeedsPublisher:Cengage LearningHorizons: Exploring the Universe (MindTap Course ...PhysicsISBN:9781305960961Author:Michael A. Seeds, Dana BackmanPublisher:Cengage Learning
- Foundations of Astronomy (MindTap Course List)PhysicsISBN:9781337399920Author:Michael A. Seeds, Dana BackmanPublisher:Cengage Learning
Astronomy
Physics
ISBN:9781938168284
Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher:OpenStax
Stars and Galaxies (MindTap Course List)
Physics
ISBN:9781337399944
Author:Michael A. Seeds
Publisher:Cengage Learning
Horizons: Exploring the Universe (MindTap Course ...
Physics
ISBN:9781305960961
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
Foundations of Astronomy (MindTap Course List)
Physics
ISBN:9781337399920
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
Convex and Concave Lenses; Author: Manocha Academy;https://www.youtube.com/watch?v=CJ6aB5ULqa0;License: Standard YouTube License, CC-BY