A space-based telescope can achieve a diffraction-limited angular resolution of 0.05" for red light (wavelength 700 nm). What would the resolution of the instrument be in the infrared, at wavelength 3.5 µm.
Q: 1. If the cross-track angular resolution of a satellite sensor at nadir is given by = 1.4 2/D where…
A: Given that:θ=1.4λDD=80 cm=0.8 mL=600 km=600×103 ma) λ=20 μm=20×10-6 mb) λ=1.5 cm=1.5×10-2 m
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Q: A telescope has a circular aperture of diameter D = 4.5 m. A light with wavelength λ = 670 nm…
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A: Given that:λ=600 nmd=2 m
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A: Given: Number of line on diffraction grating, N = 684 lines/mm Distance between grating and screen…
Q: You want a telescope that discerns objects that are at least 5.10 * 10-7 radians apart. To achieve…
A: The limiting angle of resolution of the telescope is θ=5.10×10-7 rad The wavelength of the light is…
Q: The diffraction limit, the smallest angle in degrees that can be resolved, is 250,000 arcsec ×…
A: Given - human eye distance = Diameter of lens =7.8 cm wavelength of visible light =…
Q: Estimate the separation of two points on the Moon’s surface that can just be resolved by 200-in…
A: Distance of moon from the Earth, L = 3.84 x 108 m Diameter of the telescope, D = 200 in = 200 x 2.54…
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A: Given: Field number of the eyepiece = 18 Solution: The field number of the eyepiece is known as the…
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Q: What is the radius of the Airy disk created by the light of wavelength 626 nm that passes through…
A: Light wavelength used, λ=626 nm=626×10-9m radius of the lens, r=5.2 cm=0.052 m Diameter of the lens,…
Q: What is the limit of resolution for a telescope lens with a diameter of 120 cm when it observes a…
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Q: The Very Large Array (VLA) is a set of 27 radio telescope dishes in Catron and Socorro counties, New…
A: ⇒ Given Synthetic Aperfure diameter D = 36 km.
Q: The Hubble Space Telescope is capable of resolving optical images to an angular resolution of…
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Q: The 300 m diameter Arecibo radio telescope detects radio waves with a 7.37 cm average wavelength.…
A: a) The minimum resolvable angle between two points is given by: where, lambda is the wavelength and…
Q: A light beam of 618 nm wavelength was pointed at a fiber, and the diffraction pattern was observed…
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Q: A star is located 4.2441 ly away. There is a planet orbiting this star with an orbital radius of…
A: Solution: The resolution of a telescope is given by, θ=1.22×λd=DL…
Q: (a) A radio telescope has an angular resolution of 0.142° for incident radio waves of wavelength…
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Q: What is the angular resolution limit (degrees) set by diffraction for the 224-cm mirror diameter…
A: Diameter (d) = 224 cm = 2.24 m . Wavelength (λ) = 560 nm
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Q: The human eye has a diameter of about 0.8 cm. Imagine that you are standing on the side of a flat…
A: Given: D=0.8 cmλ=500 nm Wavelength, We can use the concept of angular resolution to determine if…
Q: What is the resolving power of a microscope with a 5 mm diameter objective and f = 9 mm for light…
A: diameter of objective (D) = 5 mm D = 0.005 m focal length of objective (f) = 9 mm = 0.009 m…
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- What is the angular resolution limit (degrees) set by diffraction for the 224-cmcm mirror diameter telescope (λλ=560 nmnm)?Your 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?Find the minimum telescope aperture that could resolve an object with angular diameter 0.35 arcsecond, observed at 520-nm wave- length. (Note: 1 arcsec = 1/3600°.)
- What is bandwidth in an optical instrument? How does it relate to resolution and noise in an optical instrument?Two stars are separated by 1 x 10" m and are 4 light years away. Calculate the resolving power of the Hubble Space Telescope, with a diameter of 2.4m, at this distance. Can the Hubble Space Telescope resolve the two stars? Assume the wavelength of light is 650nm. (Hint: Look up the conversion of light years to meters.)The diameter of the Arecibo radio telescope is 307 m. It can image radio source that emit electromagnetic waves with wavelength between 3 cm and 1 m. The Virgo Cluster is a cluster of galaxies whose center is ~53.8 Mly away from us. Assume the telescope is imaging at a wavelength of 63.3 cm and can just resolve two point sources of radio waves in the Virgo cluster. How close together could these point sources be, i.e. what is the minim distance between them in ly? Enter an integer.
- Suppose you want a telescope that would allow you to see distinguishing features as small as 6.5 km on the Moon some 384,000 km away. Assume an average wavelength of 550 nm for the light received. What is the minimum diameter of the mirror (in centimeters) that you could use in the telescope?You wish to study the radio emission from the sun at wavelength 1.70 cm. In order to see details on the sun’s surface no larger than the diameter of the earth, the limit of resolution of the telescope must be 9.00 x 10-5 rad (about 0.005°). Using the Rayleigh criterion, find (a) the minimum diameter your radio telescope must have and (b) the limit of resolution of this telescope at wavelength 21.1 cm.These images show one of the large `VLT’ telescopes at the European Southern Observatory’s facility at Cerro Paranal, Chile. The place where the laser beam comes out (seen in the inset photo) is just out of sight off of the top edge of the large photo. Also note that if you look down the telescope tube (in the main photo), you can see the tube’s front-end structure. Imagine that this telescope had a flaw similar to the Hubble Space Telescope’s - its light-gathering element was shaped wrong. What problem would this cause for the telescope? Group of answer choices It would not be able to bring rays of light from a distant object to a focus. The imperfect shape would mean that it could focus rays of visible light, but not rays of light of any other wavelength. It wouldn’t be able to gather much light compared to the pupil of a human eye. It would mean that the telescope could only work if placed above the Earth’s atmosphere, like the Hubble telescope.