(a) A radio telescope has an angular resolution of 0.138° for incident radio waves of wavelength i = 4.43 mm. What is the minimum diameter (in m) required for the telescope's parabolic receiving dish? m What If? The 21.1 cm line, corresponding to emissions from hyperfine transitions in hydrogen, plays an important role in radio astronomy. (b) What minimum diameter (in m) is required for a radio telescope's receiving dish if the telescope is to have an angular resolution of 0.138° for this wavelength? (c) What would be the angular resolution (in degrees) of the telescope receiving dish from part (a) for the 21.1 cm line?
(a) A radio telescope has an angular resolution of 0.138° for incident radio waves of wavelength i = 4.43 mm. What is the minimum diameter (in m) required for the telescope's parabolic receiving dish? m What If? The 21.1 cm line, corresponding to emissions from hyperfine transitions in hydrogen, plays an important role in radio astronomy. (b) What minimum diameter (in m) is required for a radio telescope's receiving dish if the telescope is to have an angular resolution of 0.138° for this wavelength? (c) What would be the angular resolution (in degrees) of the telescope receiving dish from part (a) for the 21.1 cm line?
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
Transcribed Image Text:(a) A radio telescope has an angular resolution of 0.138° for incident radio waves of wavelength 2 = 4.43 mm. What is the
minimum diameter (in m) required for the telescope's parabolic receiving dish?
What If? The 21.1 cm line, corresponding to emissions from hyperfine transitions in hydrogen, plays an important role in radio
astronomy.
(b) What minimum diameter (in m) is required for a radio telescope's receiving dish if the telescope is to have an angular
resolution of 0.138° for this wavelength?
(c) What would be the angular resolution (in degrees) of the telescope receiving dish from part (a) for the 21.1 cm line?
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