Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 33, Problem 61P
To determine
The distance between the two stars.
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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
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Chapter 33 Solutions
Physics for Scientists and Engineers
Ch. 33 - Prob. 1PCh. 33 - Prob. 2PCh. 33 - Prob. 3PCh. 33 - Prob. 4PCh. 33 - Prob. 5PCh. 33 - Prob. 6PCh. 33 - Prob. 7PCh. 33 - Prob. 8PCh. 33 - Prob. 9PCh. 33 - Prob. 10P
Ch. 33 - Prob. 11PCh. 33 - Prob. 12PCh. 33 - Prob. 13PCh. 33 - Prob. 14PCh. 33 - Prob. 15PCh. 33 - Prob. 16PCh. 33 - Prob. 17PCh. 33 - Prob. 18PCh. 33 - Prob. 19PCh. 33 - Prob. 20PCh. 33 - Prob. 21PCh. 33 - Prob. 22PCh. 33 - Prob. 23PCh. 33 - Prob. 24PCh. 33 - Prob. 25PCh. 33 - Prob. 26PCh. 33 - Prob. 27PCh. 33 - Prob. 28PCh. 33 - Prob. 29PCh. 33 - Prob. 30PCh. 33 - Prob. 31PCh. 33 - Prob. 32PCh. 33 - Prob. 33PCh. 33 - Prob. 34PCh. 33 - Prob. 35PCh. 33 - Prob. 36PCh. 33 - Prob. 37PCh. 33 - Prob. 38PCh. 33 - Prob. 39PCh. 33 - Prob. 40PCh. 33 - Prob. 41PCh. 33 - Prob. 42PCh. 33 - Prob. 43PCh. 33 - Prob. 44PCh. 33 - Prob. 45PCh. 33 - Prob. 46PCh. 33 - Prob. 47PCh. 33 - Prob. 48PCh. 33 - Prob. 49PCh. 33 - Prob. 50PCh. 33 - Prob. 51PCh. 33 - Prob. 52PCh. 33 - Prob. 53PCh. 33 - Prob. 54PCh. 33 - Prob. 55PCh. 33 - Prob. 56PCh. 33 - Prob. 57PCh. 33 - Prob. 58PCh. 33 - Prob. 59PCh. 33 - Prob. 60PCh. 33 - Prob. 61PCh. 33 - Prob. 62PCh. 33 - Prob. 63PCh. 33 - Prob. 64PCh. 33 - Prob. 65PCh. 33 - Prob. 66PCh. 33 - Prob. 67PCh. 33 - Prob. 68PCh. 33 - Prob. 69PCh. 33 - Prob. 70PCh. 33 - Prob. 71PCh. 33 - Prob. 72PCh. 33 - Prob. 73PCh. 33 - Prob. 74PCh. 33 - Prob. 75PCh. 33 - Prob. 76PCh. 33 - Prob. 77PCh. 33 - Prob. 78PCh. 33 - Prob. 79PCh. 33 - Prob. 80PCh. 33 - Prob. 81PCh. 33 - Prob. 82PCh. 33 - Prob. 83PCh. 33 - Prob. 84PCh. 33 - Prob. 85PCh. 33 - Prob. 86PCh. 33 - Prob. 87P
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- H does the resolving power of the 5-rn telescope on Mount Palomar near San Diego compare with that of the 2.5-rn Hubble Space Telescope? Why does the HST generally still outperform the Palomar 5-rn telescope?arrow_forwardHow much more light can the Keck telescope (with its 10-m diameter mirror) gather than an amateur telescope whose mirror is 25 cm (0.25 m) across?arrow_forwardWhat is the limit of angular resolution for a 6.3-m telescope at a wavelength of 533nm?arrow_forward
- What 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_forwardPlease answer both:The brightest star in the Pointers is α Centauri. It is actually a binary star, with two components known as α Cen A and α Cen B. They orbit each other for a period of about 80 years. At the moment they are separated by about 5 arcseconds in the sky. a) The average eye has a pupil diameter of 3mm, increasing to about 7mm at night. What is the theoretical best resolution for the human eye, at 500 nm? (Enter your answer in arc seconds, to the nearest whole number) b) Could you separate the two components with your naked eye (at 500 nm)?arrow_forwardWhat is the resolving power of an 8-inch telescope (if necessary, you may assume λ=550 nm)? By the way, this is the aperture size of the telescopes we use in the outdoor labs. Will two stars 1 arcsecond apart appear as two separate stars or one big blob? In other words can the two stars be clearly resolved by this telescope?arrow_forward
- 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 %Darrow_forwardA 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_forwardOne of the instruments on board the Unreal X-ray Observatory (UXO) has a detector with 3600 pixels x 1800 pixels and a field of view of 30 ar- cmin x 15 arcmin. If each pixel is 24 µm x 24 μm in size, calculate the plate scale, in arcsec mm-¹, and hence determine the focal length of the UXO telescope.arrow_forward
- Estimate the angular resolutions of a radio interferometer with a 5000-km baseline, operating at a frequency of 5 GHz.arrow_forwardA circular tablet with a radius of 20 cm and a uniform luminosity of 10.5 cd / m ^ 2 illuminates a small flat surface with an area of 1 cm ^ 2 and at a distance of 1 m from the center of the tablet. The orientation of this small surface is such that its perpendicular to the line joining the centers of the two surfaces forms an angle of 45 °. This line is perpendicular to the circular disk. Determine the luminous flux on a small surfacearrow_forwardThe James Webb Space Telescope has a primary mirror of diameter ? = 6.5metres. When observing at 1100nm wavelength, calculate the minimum angular separation between two stars which can just be resolved; give your answer in arcseconds (arcsec), where 1 arcsec = 1/3600 degree, to 3 decimal places.arrow_forward
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