Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 33, Problem 81P
To determine
The smallest angular separation of two objects that the telescope can detect.
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Chapter 33 Solutions
Physics for Scientists and Engineers
Ch. 33 - Prob. 1PCh. 33 - Prob. 2PCh. 33 - Prob. 3PCh. 33 - Prob. 4PCh. 33 - Prob. 5PCh. 33 - Prob. 6PCh. 33 - Prob. 7PCh. 33 - Prob. 8PCh. 33 - Prob. 9PCh. 33 - Prob. 10P
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- 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.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. (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?arrow_forwardThe angular resolution of a radio telescope is to be 0.100 when the incident waves have a wavelength of 3.00 mm. What minimum diameter is required for the telescopes receiving dish?arrow_forward
- How far apart must two objects be on the moon to be resolvable by the 8.1-m-diameter Gemini North telescope at Mauna Kea, Hawaii, if only the diffraction effects of the telescope aperture limit the resolution? Assume 550 nm for the wavelength of light and 400,000 km for the distance to the moon.arrow_forwardHow 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.arrow_forwardAssuming the angular resolution found for the Hubble Telescope in Example 4.6, what is the smallest detail that could be observed on the moon?arrow_forward
- 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.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_forwardOne important goal of astronomers is to have a telescope inspace that can resolve planets like the earth orbiting other stars. If aplanet orbits its star at a distance of 1.5 * 10^11 m (the radius of theearth’s orbit around the sun) and the telescope has a mirror of diameter8.0 m, how far from the telescope could the star and its planet be if thewavelength used was (a) 690 nm and (b) 1400 nm? Use the Rayleighcriterion and give your answers in light-years (1 ly = 9.46 * 1015 m).arrow_forward
- The 300 m diameter Arecibo radio telescope detects radio waves with a 7.37 cm average wavelength. (a) What is the angle (in rad) between two just-resolvable point sources for this telescope? 1.6267e-4 rad (b) How close together (in ly) could these point sources be at the 2 million light year distance of the Andromeda galaxy? 325.33 X lyarrow_forwardPluto 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_forward(a) The planet Pluto and its Moon Charon are separatedby 19,600 km. Neglecting atmospheric effects, should the5.08-m-diameter Mount Palomar telescope be able to resolvethese bodies when they are 4.50×109km from Earth?Assume an average wavelength of 550 nm.(b) In actuality, it is just barely possible to discern that Plutoand Charon are separate bodies using an Earth-basedtelescope. What are the reasons for this?arrow_forward
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