College Physics:
11th Edition
ISBN: 9781305965515
Author: SERWAY, Raymond A.
Publisher: Brooks/Cole Pub Co
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Chapter 25, Problem 46P
To determine
The separation between the stars.
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A binary star consists of two stars orbiting each other. Suppose a binary pair is known to be 580.0 light years away from Earth. How far apart are the two stars from each other, in light years, if they can just be resolved by a telescope with an aperture of 50 cm (0.50 m), using visible light (l = 550 nm)? (1 nm = 1 x 10-9 m)
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Two stars located 23 light-years from Earth are barely resolved using a reflecting telescope having a mirror of diameter 68 cm. Assuming λ = 575 nm and assuming that the resolution is limited only by diffraction, find the separation between the stars.
Chapter 25 Solutions
College Physics:
Ch. 25.2 - Two campers wish to start a fire during the day....Ch. 25.6 - Suppose you are observing a binary star with a...Ch. 25 - A lens is used to examine an object across a room....Ch. 25 - A CCD camera is equipped with a lens with constant...Ch. 25 - The optic nerve and the brain invert the image...Ch. 25 - Suppose you are observing the interference pattern...Ch. 25 - If you want to examine the fine detail of an...Ch. 25 - Compare and contrast the eye and a camera. What...Ch. 25 - Choose the option from each pair that makes the...Ch. 25 - Choose the option from each pair that makes the...
Ch. 25 - Explain why it is theoretically impossible to see...Ch. 25 - Large telescopes are usually reflecting rather...Ch. 25 - A patient has a near point of 1.25 m. Is she...Ch. 25 - A lens with a certain power is used as a simple...Ch. 25 - Suppose a microscopes resolution is diffraction...Ch. 25 - During LASIK eye surgery (laser-assisted in situ...Ch. 25 - If you increase the aperture diameter of a camera...Ch. 25 - A lens has a focal length of 28 cm and a diameter...Ch. 25 - A certain camera has f-numbers that range from 1.2...Ch. 25 - An f/2.80 CCD camera has a 105-mm focal length...Ch. 25 - A digital camera equipped with an f = 50.0-mm lens...Ch. 25 - A camera is being used with a correct exposure at...Ch. 25 - (a) Use conceptual arguments to show that the...Ch. 25 - A certain type of film requires an exposure time...Ch. 25 - A certain camera lens has a focal length of 175...Ch. 25 - The near point of a persons eye is 60.0 cm. To see...Ch. 25 - A patient cant see objects closer than 40.0 cm and...Ch. 25 - The accommodation limits for Nearsighted Nicks...Ch. 25 - Prob. 12PCh. 25 - An individual is nearsighted; his near point is...Ch. 25 - A particular nearsighted patient cant see objects...Ch. 25 - A particular patients eyes are unable to focus on...Ch. 25 - A patient has a near point of 45.0 cm and far...Ch. 25 - Prob. 17PCh. 25 - Prob. 18PCh. 25 - Prob. 19PCh. 25 - A person sees clearly wearing eyeglasses that have...Ch. 25 - A stamp collector uses a lens with 7.5-cm focal...Ch. 25 - When a drop of water is placed on a flat, clear...Ch. 25 - A biology student uses a simple magnifier to...Ch. 25 - A jewelers lens of focal length 5.0 cm is used as...Ch. 25 - A leaf of length h is positioned 71.0 cm in front...Ch. 25 - (a) What is the maximum angular magnification of...Ch. 25 - The desired overall magnification of a compound...Ch. 25 - Prob. 28PCh. 25 - Prob. 29PCh. 25 - A microscope has an objective lens with a focal...Ch. 25 - The two lenses of a compound microscope are...Ch. 25 - Prob. 32PCh. 25 - Prob. 33PCh. 25 - Prob. 34PCh. 25 - Suppose an astronomical telescope is being...Ch. 25 - Prob. 36PCh. 25 - Prob. 37PCh. 25 - An elderly sailor is shipwrecked on a desert...Ch. 25 - Prob. 39PCh. 25 - Prob. 40PCh. 25 - A converging lens with a diameter of 30.0 cm forms...Ch. 25 - Prob. 42PCh. 25 - Prob. 43PCh. 25 - (a) Calculate the limiting angle of resolution for...Ch. 25 - Prob. 45PCh. 25 - Prob. 46PCh. 25 - Prob. 47PCh. 25 - A spy satellite circles Earth at an altitude of...Ch. 25 - A diffraction grating has a second-order resolving...Ch. 25 - Prob. 50PCh. 25 - Prob. 51PCh. 25 - Monochromatic light is beamed into a Michelson...Ch. 25 - Light of wavelength 550. nm is used to calibrate a...Ch. 25 - Prob. 54PCh. 25 - An interferometer is used to measure the length of...Ch. 25 - The Michelson interferometer can be used to...Ch. 25 - A thin sheet of transparent material has an index...Ch. 25 - Prob. 58APCh. 25 - Prob. 59APCh. 25 - A person with a nearsighted eye has near and far...Ch. 25 - An American standard analog television picture...Ch. 25 - Prob. 62APCh. 25 - The near point of an eye is 75.0 cm. (a) What...Ch. 25 - Prob. 64APCh. 25 - A cataract-impaired lens in an eye may be...Ch. 25 - A laboratory (astronomical) telescope is used to...Ch. 25 - Prob. 67AP
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- 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_forwardTwo stars located 23 light-years from Earth are barely resolved using a reflecting telescope having a mirror of diameter 68 cm. Assuming A = 575 nm and assuming that the resolu- tion is limited only by diffraction, find the separation between the stars.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
- Two stars have an angular separation of 8.50 ✕ 10−8 rad when viewed in the night sky from Earth. Determine the minimum diameter of a telescope's circular aperture if the two stars are to be angularly resolved at a wavelength of 625 nm.arrow_forwardThe Earth and Moon are separated by about 400 x 106 mWhen Mars is 8 x1010 m from Earth, could a person standing on Mars resolve the Earth and its Moon as two separateobjects without a telescope? Assume a pupil diameter of5 mm and λ=550nmarrow_forwardConsider a telescope on Earth that aims to distinguish (solve) two points over the moon separated by a distance of 1.7 km when the moon is at a distance of 3.8x105 km. By the Rayleigh resolution criterion, what is the minimum diameter of the opening of this telescope? Consider the wavelength equal to 0.55 µm. 21 cm 12 cm 25 cm 15 cm 18 cmarrow_forward
- A Michelson interferometer is used with red light of wavelength 632.8 nm and is adjusted for a path difference of 20 μm. Determine the angular radius of the a) first (smallest diameter) ring observed and b) the tenth ring observed.arrow_forwardA Michelson interferometer is used with red light of wavelength 632.8 nm and is adjusted for a path difference of 20 μm. Determine the angular radius of the (a) first ring observed and (b) the tenth ring observed.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_forward
- 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) ? ? ? ? ?arrow_forward(a) What is the angular separation of two stars if their images are barely resolved by a refracting telescope with a lens diameter of 79 cm and a focal length of 14 m. Assume λ = 550 nm. (b) Find the distance between these barely resolved stars if each of them is 9.6 light- years distant from Earth. (c) For the image of a single star in this telescope, find the diameter of the first dark ring in the diffraction pattern in meters, as measured on a photographic plate placed at the focal plane of the telescope lens. Assume that the structure of the image is associated entirely with diffraction at the lens aperture and not with lens "errors." (a) Number i (b) Number i (c) Number Units Units Unitsarrow_forwardOne important goal of astronomers is to have a telescope in space that can resolve planets like the earth orbiting other stars. If a planet orbits its star at a distance of 1.5 * 1011 m (the radius of the earth’s orbit around the sun) and the telescope has a mirror of diameter 8.0 m, how far from the telescope could the star and its planet be if the wavelength used was (a) 690 nm and (b) 1400 nm? Use the Rayleigh criterion and give your answers in light-years (1 ly = 9.46 * 1015 m).arrow_forward
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