The Square Kilometers Array (SKA) is a set of thousands of radio dipole antennae and telescope dishes that is planned to be build, starting in 2016. It is to spread out over a distance of more then 3000 km. The combined signals will have a resolving power equivalent to that of an aperture of approximately 1000 km (a) If the detector are turned to a frequency of , what is the angular resolution of SKA? (b) Clouds of interstellar hydrogen radiate at a frequency used in part (a). What must be the separation distance of two clouds at the center of galaxy, 26000 light years away, if they are to be resolved?

The Square Kilometers Array (SKA) is a set of thousands of radio dipole antennae and telescope dishes that is planned to be build, starting in 2016. It is to spread out over a distance of more then 3000 km. The combined signals will have a resolving power equivalent to that of an aperture of approximately 1000 km (a) If the detector are turned to a frequency of , what is the angular resolution of SKA? (b) Clouds of interstellar hydrogen radiate at a frequency used in part (a). What must be the separation distance of two clouds at the center of galaxy, 26000 light years away, if they are to be resolved?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 69P

See similar textbooks

Similar questions

A spy satellite is reputed to be able to resolve objects 10. cm apart while operating 197 km above the surface of Earth. What is the diameter of the aperture of the telescope if the resolution is only limited by the diffraction effects? Use 550 nm for light.
A laser with 589 nm wavelength and a beam diameter of 2 mm is fed through a beam-expander,then aimed from the G.O. Jones building to the Canary Wharf tower at a distance of 2.75 km.What expansion factor is required for the beam-expander in order that the diffraction-limited spotat Canary Wharf tower has a diameter of 30 cm (defined as the diameter of the first dark ring) ?
A crystal sample of bacteriorhodopsin, a light-sensitive protein found in halobacteria that responds to light energy, has crystal planes separated by 0.20 nm If a beam of 10keV x rays illuminates a sample, what angles will give diffraction maxima of the first, second and third order?
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
Assuming the angular resolution found for the Hubble Telescope in Example 4.6, what is the smallest detail that could be observed on the moon?
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?
The first-order Bragg angle for a certain crystal is 12.1°. What is the second-order angle?
Check Your Understanding What is the angular resolution of the Arecibo telescope shown in Figure 4.20 when operated at 21-cm wavelength? How does it compare to the resolution of the Hubble Telescope? Figure 4.20 A 305-m-diameter paraboloid at Arecibo in Puerto Rico is lined with reflective material, making it into a radio telescope. It is the largest curved focusing dish in the world. Although D for Arecibo is much larger than for the Hubble Telescope, it detects radiation of a much longer wavelength and its diffraction limit is significantly poorer than Hubble’s. The Arecibo telescope is still very useful, because important information is carried by radio waves that is not carried by visible light. (credit: Jeff Hitchcock)
How far apart must two objects be on the moon to be distinguishable by eye if only the diffraction effects of the eye’s pupil limit the resolution? Assume 550 nm for the wavelength of light, the pupil diameter 5.0 mm, and 400,000 km for the distance to the moon.
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?
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.
For a three-slit interference pattern, find the ratio of the peak intensities of a secondary maximum to a principal maximum.