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The VLBA (Very Long Baseline Array) uses a number of individual radio telescopes to make one unit having an equivalent diameter of about 8000 km. When this radio telescope is focusing radio waves of wavelength 2.0 cm, what would have to be the diameter of the mirror of a visible-light telescope focusing light of wavelength 550 nm so that the visible-light telescope has the same resolution as the radio telescope?
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University Physics with Modern Physics, Volume 1 (Chs. 1-20) and Mastering Physics with Pearson eText & ValuePack Access Card (14th Edition)
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- Radio waves have wavelengths that are typically many centimeters, or even meters. Radio telescopes also tend to have diameters that are much larger than optical telescopes. They are sometimes 25, 50, even 100 m in diameter. In fact, the Arecibo radio telescope in Puerto Rico is about 300 m in diameter. How does the resolution of the Arecibo telescope observing radio waves of wavelength 10 cm compare to that of a 1-m diameter optical telescope observing in green light with a wavelength of 500 nm? Explain why radio telescopes are so large.arrow_forwardProblem 4: A telescope has a circular aperture of diameter D = 4.3 m. A light with wavelength λ = 550 nm travels through the telescope. Part (a) Express the limiting angle of resolution, θmin, in terms of λ and D. You may assume that θmin is very small. Part (b) Solve for the numerical value of θmin in degrees.arrow_forwardTelescopes are an essential tool for astronomers to study the universe. You plan to build your own telescope that can resolve the Great Red Spot on the surface of Jupiter at a wavelength of 600 nm. The farthest distance between the Earth and Jupiter is 968 x 10° km and the Great Red Spot has currently a diameter of 16,500 km. (a) Use the Rayleigh criterion to determine the diameter of the lens' aperture of your telescope that is needed to resolve the Great Red Spot on Jupiter. Impacts have formed many craters on the Moon's surface. You would like to study some of the craters with your new telescope. The distance between Moon and Earth is 384,400 km. (b) What is the smallest possible size of the craters that your telescope can resolve?arrow_forward
- The primary mirror of the orbiting telescope has a diameter of 6.7 cm. being in orbit, this telescope avoids the degrading effects of atmospheric distortion on its resolution. Assuming an average light wavelength of 550 nm, what is the angle between two just-resolvable point light sources?arrow_forwardWhy are there limits to the resolving power of a telescope? A The aperture is a double slit. B The aperture is a slit with two edges. C The aperture through which the light passes limits the amount of light that forms the image. D The aperture through which the light passes diffracts the light and blurs the image.arrow_forwardWhat diameter telescope (in m) would you need to observe Olympus Mons (624 km in diameter) from Earth at a wavelength of 550 nm when Mars is 3.35 ✕ 108 km away?arrow_forward
- 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.arrow_forwardDiameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm coming from a distant object, the limit of resolution of the telescope is close to what value?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. If this is done with the Otto Struve telescope, producing a 2.10 m diameter beam of 613 nm light, what is the minimum angular spread of the beam? minimum angular spread: rad Neglecting atmospheric effects, what is the size of the spot this beam would make on the Moon, assuming a lunar distance of 3.84×108 m? size of spot on the Moon:arrow_forward
- A telescope is used to view two stars that are about 9.36 light-years away and emit light with an average wavelength of 570nm. If the aperture of the telescope has a diameter of 1.8m. what is the minimum separation of the stars so that they can be distinguished as two separate objects?arrow_forwardThe resolving power of telescope of aperture 100 cm for light of wavelength 5.5 × 1077 m is ..... (a) 0.149 × 10² (b) 1.49 x 10² (c). 14.9 × 10² (d) 149 × 10²arrow_forwardPluto 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.arrow_forward
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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