(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?