An astronaut in orbit can just resolve two point sources on the earth that are 77.0 m apart. Assume that the resolution is diffraction-limited and use Rayleigh's criterion. What is the astronaut's altitude above the earth? Treat her eye as a circular aperture with a diameter of 4.00 mm (the diameter of her pupil), and take the wavelength of the light to be 510 nm .
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An astronaut in orbit can just resolve two point sources on the earth that are 77.0...
An astronaut in a space shuttle claims she can just barely resolve two point sources on Earth's surface, 240 km below. Calculate their (a) angular and (b) linear separation in meters, assuming ideal conditions. Take ? = 538 nm and the pupil diameter of the astronaut's eye to be 5.0 mm.
The two headlights of an approaching automobile are 1.3 m apart. At what (a) angular separation and (b) maximum distance will the eye resolve them? Assume that the pupil diameter is 5.0 mm, and use a wavelength of 560 nm for the light. Also assume that diffraction effects alone limit the resolution so that Rayleigh's criterion can be applied, in meters.
The two headlights of an approaching automobile are 1.4 m apart. At what (a) angular separation and (b) maximum distance will the eye resolve them? Assume that the pupil diameter is 5.0 mm, and use a wavelength of 524 nm for the light. Also assume that diffraction effects alone limit the resolution so that Rayleigh's criterion can be applied, in meters.
) In the figure, a slit 0.30 mm wide is illuminated by light of wavelength 426 nm. A diffraction attern is seen on a screen 2.8 m from the slit. What is the linear distance on the screen between e first diffraction minima on either side of the central diffraction maximum? Answer: 8.0 mm 30) A thin beam of laser light of wavelength 514 nm passes through a diffraction grating having 3952 lines/cm. The resulting pattern is viewed on a...
When laser light of wavelength 632.8 nm passes through a diffraction grating, the first bright spots occur at ± 17.0 ∘ from the central maximum. How many additional pairs of bright spots are there beyond the first bright spots? A converging lens 6.90 cm in diameter has a focal length of 310 mm If the resolution is diffraction limited, how far away can an object be if points on it transversely 4.00 mm apart are to be resolved (according to...
The telescopes on some commercial surveillance satellites can resolve objects on the ground as small as 91 cm across (see Google Earth), and the telescopes on military surveillance satellites reportedly can resolve objects as small as 14 cm across. Assume first that object resolution is determined entirely by Rayleigh's criterion and is not degraded by turbulence in the atmosphere. Also assume that the satellites are at a typical altitude of 403 km and that the wavelength of visible light is...
The photosensitive cells (rods and cones) in the retina are most densely packed in the fovea - the part of the retina used to see straight ahead. In the fovea, the cells are all cones spaced about 1 pm apart. Would our vision have much better resolution If they were closer together? To answer this question, assume two light sources are just far enough apart to be resolvable according to Rayleigh?s criterion. Assume an average pupil diameter of 5.00 mm...
Two sources of light of wavelength 725 nm are 8 m away from a pinhole of diameter 13 mm. How far apart must the sources be for their diffraction patterns to be resolved by Rayleigh's criterion? mm EnterHelp
The Very Large Array (VLA) is a set of 27 radio telescope dishes in Catron and Socorro counties, New Mexico (see figure below). The antennas can be moved apart on railroad tracks, and their combined signals give the resolving power of a synthetic aperture 36.0 km in diameter. (a) If the detectors are tuned to a frequency of 1.17 GHz, what is the angular resolution of the VLA? 8.689 µrad (b) Clouds of interstellar hydrogen radiate at the frequency used...
Diffraction Limit: How far away can a human eye distinguish two car headlights 2.0m apart? Consider only diffraction effects and assume an eye pupil diameter of 6 mm and a wavelength of 560 nm. What is the minimum angular separation an eye could resolve when viewing two stars, considering only diffraction effects? In reality, the minimum angular separation is about 1' of arc. Why is it not equal to your answer in part b)?