What must be true in order for two objects to be resolvable? (ii.) Suppose a 5.0 m diameter telescope were constructed on the far side of the Moon. To prove that the viewing there would be excellent, what would be the separation between two objects that could just be resolved on Mars in 500. nm light? [Use the Mars-Moon distance of 80.5 million km.] Show all work and answer both parts of the question.

What must be true in order for two objects to be resolvable? (ii.) Suppose a 5.0 m diameter telescope were constructed on the far side of the Moon. To prove that the viewing there would be excellent, what would be the separation between two objects that could just be resolved on Mars in 500. nm light? [Use the Mars-Moon distance of 80.5 million km.] Show all work and answer both parts of the question.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 86AP: How far apart must two objects be on the moon to be distinguishable by eye if only the diffraction...

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5. (i.) What is resolution? (ii.) What must be true in order for two objects to be resolvable? (iii.) Suppose a 5.0 m diameter telescope were constructed on the far side of the Moon. To prove that the viewing there would be excellent, what would be the separation between two objects that could just be resolved on Mars in 500. nm light? [Use the Mars-Moon distance of 80.5 million km.]
Can you please type out all of your solution so that they are easy for me to read I have bad eyesight...
ASK YOUR TEACHER You want a telescope that discern objects that are at least 3.60 × 107 radians apart. A.) To achieve this resolution, determine what wavelength should be used if the diameter of the primary mirror is 0.7 m. B.) The two stars in a binary star system (two stars in orbit about each other) are 39 AU apart. They would just barely be able to be discerned by your telescope. Determine how far from Earth this binary star system is. 1 AU = 1.496 x 1011 m.
(a) What is the angular separation of two stars if their images are barely resolved by the Thaw refracting telescope at the Allegheny Observatory in Pittsburgh? The lens diameter is 76 cm and its focal length is 14 m. Assume l = 550 nm. (b) Find the distance between these barely resolved stars if each of them is 10 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, 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.”
Question 1 a)Calculate the resolving power of a Fabry-Perot interferometer made of re- flecting surfaces of reflectivity 0.85 and separated by a distance 1 mm at λ = 4880 ˚A. b. Calculate the minimum spacing between the plates of a Fabry?Perot interfer- ometer which will resolve two lines with ∆λ = 0.1 ˚Aat λ = 6000 ˚A. Assume the reflectivity to be 0.8. need both or else I will downvote
the problem in section 4/4 is showing incorrect can you confirm what the answer should be? Thanks
(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).
(i) Define Rayleigh criterion. (i) Provide a simple explanation on a well resolved, just resolve, and unresolved case for images formed by two objects closely separated through a small aperture.
A 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?
A light ray of wavelength 461.9 nm emerges from a 2-mm circular aperture of a krypton ion laser. Due to diffraction, the beam expands as it moves out. How large is the central bright spot at (a) 1 m, (b) 1 km, (c) 1000 km, and (d) at the surface of the moon at a distance of 400,000 km from Earth.
A camera uses a lens with aperture 2.0 cm. What is the angular resolution of a photograph taken at 700 nm wavelength? Can it resolve the millimeter markings of a ruler placed 35 m away?
Radio telescopes are telescopes used for the detection of radio emission from space. Because radio waves have much longer wavelengths than visible light, the diameter of a radio telescope must be very large to provide good resolution. For example, the radio telescope in Penticton, BC in Canada, has a diameter of 26 m and can be operated at frequencies as high as 6.6 GHz. (a) What is the wavelength corresponding to this frequency? (b) What is the angular separation of two radio sources that can be resolved by this telescope? (c) Compare the telescope’s resolution with the angular size of the moon.