College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 25, Problem 47P
To determine
The separation between two objects resolved on mars.
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Pluto and its moon Charon are separated by 19600 km. An undergraduate researcher wants to determine if the 5.08 m diameter Mount Palomar telescope can resolve these bodies when they are 5.40×109 km from Earth (neglecting atmospheric effects). Assume an average wavelength of 545 nm.
To determine the answer, calculate the ratio of the telescope's angular resolution ?T to the angular separation ?PC of the celestial bodies.
Suppose a 5.00 m diameter telescope were constructed on the Moon, where the absence of atmospheric distortion would permit excellent viewing.
If observations were made using 500 nm light, what minimum separation between two objects could just be resolved on Mars at closest approach (when Mars is 8.0 × 107 km from the Moon)?
Pluto and its moon Nix are separated by 48700 km. An undergraduate researcher wants to determine if the 5.08 m diameter Mount Palomar telescope can resolve these bodies when they are 6.40×10^9 km from Earth (neglecting atmospheric effects). Assume an average wavelength of 565 nm.
To determine the answer, calculate the ratio of the telescope's angular resolution θT to the angular separation θPN of the celestial bodies.
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_forwardAssuming the angular resolution found for the Hubble Telescope in Example 4.6, what is the smallest detail that could be observed on the moon?arrow_forwardWhat is the minimum diameter mirror on a telescope that would allow you to see details as small as 5.00 km on the moon some 384,000 km away? Assume an average wavelength of 550 nm for the light received.arrow_forward
- On a bright clear day, you are at the top of a mountain and looking at a city 12 km away. There are two tall towers 20.0 m apart in the city. Can your eye resolve the two towers if the diameter of the pupil is 4.0 mm? If not, what should be the minimum magnification power of the telescope needed to resolve the two towers? In your calculations use 550 nm for the wavelength of the light.arrow_forwardA telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the moon. (a) If this is done with the Mount Wilson telescope, producing a 2.54-m-diameter beam of 633-nm light, what is the minimum angular spread of the beam? (b) Neglecting atmospheric effects, what is the size of the spot this beam would make on the moon, assuming a lunar distance of 3.84108 m?arrow_forwardWhat is the minimum angular separation of two stars that are just-resolvable by the 8.1-m Gemini South telescope, if atmospheric effects do not limit resolution? Use 550 nm for the wavelength of the light from the stars.arrow_forward
- The 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_forwardAssume that a spy satellite in orbit carries a telescope that can resolve objects on the ground as small as the width of a car’s license plate. If the satellite is in orbit at 400 kmkm above the earth’s surface (which is typical for orbiting telescopes) and it focuses light of wavelength 500 nmnm , what minimum diameter of the mirror (or objective lens) would be needed (Take the width of a typical license plate to be about 30 cmcm )? Express your answer in centimeters.arrow_forwardYour telescope has a diameter of D = 0.934 m. You use it to look at craters on the moon, which is L = 3.84e8 m away. Assuming you're observing with a wavelength of λ = 627 nm, what is the size (y) of the smallest crater you can resolve?arrow_forward
- Hubble Versus Arecibo. The Hubble Space Telescope has an aperture of 2.4 m and focuses visible light (380–750 nm). The Arecibo radio telescope in Puerto Rico is 305 m (1000 ft) in diameter (it is built in a mountain valley) and focuses radio waves of wavelength 75 cm. (a) Under optimal viewing conditions, what is the smallest crater that each of these telescopes could resolve on our moon? (b) If the Hubble Space Telescope were to be converted to surveillance use, what is the highest orbit above the surface of the earth it could have and still be able to resolve the license plate (not the letters, just the plate) of a car on the ground? Assume optimal viewing conditions, so that the resolution is diffraction limited.arrow_forwardpls helparrow_forwardMany years ago, a lunar lander was sent to the moon given the base of the lunar lander is roughly 4 m wide and the moon is on average 380 000 km away from Earth, what is the angular size of the lunar lander in Arcsecindsm? how does this compare to the diffraction limited resolution of the Hubble Space Telescope (2.4 m aperture) when observing at the wavelength of 700 nm? can the HST resolve the lander of the moon?arrow_forward
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