Explanation Given information: The distance between Jupiter and earth is 4.28 light years , the aperture diameter of the Hubble space telescope is 2.4 m , the wavelength range is 100 nm to 2400 nm , the aperture diameter of the Hale telescope is 5.08 nm , the wavelength range is 400 nm to 700 nm , the aperture diameter of the Keck telescope is 10.0 m , the wavelength range is 400 nm to 700 nm and the aperture diameter of the Arecibo telescope is 305 m , the wavelength is 75 cm . The average wavelength is, λ av = λ l + λ h 2 (1) Here, λ avg is the average wavelength. λ l is the lower limit of the wavelength range. λ h is the higher limit of the wavelength range. For a resolved image the minimum angle of resolution is, θ min = 1.22 λ avg D . (2) Here, θ min is the limiting angle of resolution. λ avg is the wavelength of the light. D is the diameter of the objective lens. Substitute λ l + λ h 2 for λ av from equation (1) in equation (2). θ min = 1.22 [ ( λ l + λ h 2 ) D ] . (3) For Hubble space telescope: Substitute 2.4 m for D and 100 nm for λ l 2400 nm for λ h in equation (3). θ min = 1.22 [ ( 100 nm + 2400 nm 2 ) 2.4 m ] θ min = 1.22 [ 1250 nm × ( 1 m 10 9 nm ) 2.4 m ] = 63.54 × 10 − 6 rads = 63.54 μrads Thus the limiting angle for the Hubble telescope is 63.54 μrads . For Hale telescope: Substitute 5.08 m for D and 400 nm for λ l 700 nm for λ h in equation (3)

Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term

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ISBN: 9781337888585

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Chapter 37, Problem 14P

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The appropriate telescope to have better resolved image.

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Chapter 37 Solutions

Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term

Ch. 37.2 - Suppose the slit width in Figure 37.4 is made half...Ch. 37.3 - Cats eyes have pupils that can be modeled as...Ch. 37.3 - Suppose you are observing a binary star with a...Ch. 37.4 - Ultraviolet light of wavelength 350 nm is incident...Ch. 37.6 - A polarizer for microwaves can be made as a grid...Ch. 37.6 - Prob. 37.6QQ Ch. 37 - Prob. 1P Ch. 37 - Prob. 2P Ch. 37 - Prob. 3P Ch. 37 - In Figure 37.7, show mathematically how many...

Ch. 37 - Prob. 5P Ch. 37 - What If? Suppose light strikes a single slit of...Ch. 37 - Prob. 7P Ch. 37 - Coherent light of wavelength 501.5 nm is sent...Ch. 37 - Prob. 9P Ch. 37 - Prob. 10P Ch. 37 - What is the approximate size of the smallest...Ch. 37 - Prob. 12P Ch. 37 - Prob. 13P Ch. 37 - Prob. 14P Ch. 37 - Impressionist painter Georges Seurat created...Ch. 37 - Prob. 16P Ch. 37 - Consider an array of parallel wires with uniform...Ch. 37 - Prob. 18P Ch. 37 - A grating with 250 grooves/mm is used with an...Ch. 37 - Show that whenever white light is passed through a...Ch. 37 - Light from an argon laser strikes a diffraction...Ch. 37 - Prob. 22P Ch. 37 - You are working as a demonstration assistant for a...Ch. 37 - Prob. 24P Ch. 37 - Prob. 25P Ch. 37 - Prob. 26P Ch. 37 - Prob. 27P Ch. 37 - Prob. 28P Ch. 37 - Prob. 29P Ch. 37 - Prob. 30P Ch. 37 - Prob. 31P Ch. 37 - Prob. 32P Ch. 37 - Prob. 33AP Ch. 37 - Laser light with a wavelength of 632.8 nm is...Ch. 37 - Prob. 35AP Ch. 37 - Prob. 36AP Ch. 37 - Prob. 37AP Ch. 37 - Prob. 38AP Ch. 37 - Prob. 39AP Ch. 37 - Prob. 40AP Ch. 37 - Prob. 41AP Ch. 37 - Prob. 42AP Ch. 37 - Prob. 43AP Ch. 37 - Prob. 44AP Ch. 37 - Prob. 45AP Ch. 37 - Prob. 46AP Ch. 37 - Prob. 47AP Ch. 37 - Prob. 48AP Ch. 37 - Two closely spaced wavelengths of light are...Ch. 37 - Prob. 50CP Ch. 37 - Prob. 51CP Ch. 37 - In Figure P37.52, suppose the transmission axes of...Ch. 37 - Prob. 53CP

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The appropriate telescope to have better resolved image.

Solution Summary: The author explains that the Keck telescope offers the highest resolution for the image of the Jupiter planet.

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Chapter 37 Solutions