Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 32, Problem 45P
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?
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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
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minimum diameter of objective(m)
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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.)
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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?
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Chapter 32 Solutions
Essential University Physics (3rd Edition)
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 - Light is incident normally on a grating with...Ch. 32 - Prob. 20ECh. 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. 30ECh. 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 - Find the angular position of the second-order...Ch. 32 - A double-slit experiment has slit spacing 0.035nm,...Ch. 32 - For a double-slit system with slit spacing 0.0525...Ch. 32 - A screen 1.0 m wide is 2.0 m from a pair of slits...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 - For visible light with wavelengths from 400 nm to...Ch. 32 - Find the total number of lines in a 2.5-cm-wide...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. 47PCh. 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 - Your stereo is in a dead spot caused by direct...Ch. 32 - A proposed star wars antimissile laser is to focus...Ch. 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. 63PCh. 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 - An arrangement known as Lloyds mirror (Fig. 32.29)...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...
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