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Alpha Centauri is the brightest star in the Centaurus constellation. The Alpha Centauri system is located 4.13 x 1013 kilometers from the Sun, making it the closest star system to our Solar System. Although it appears to the unaided eye as a single object, Alpha Centauri is actually a binary star system. Assume that the distance between the pair is 2 109 kilometers and that they emit light with wavelength 375 nanometers. 9) What should be the diameter of the telescope in order to just barely resolve the two stars? a. Any telescope can resolve the stars if the observation is done at night, in a district without any significant light pollution. b. The diameter of the telescope should be about 1.9 m. c. The diameter of the telescope should be about 94 m. d. The diameter of the telescope should be about 0.9 cm. e. The diameter of the telescope has to be smaller than 0.6 cm. Suppose that as you investigate atomic spectra using a diffraction grating with 4 x 103 lines/cm, you observe a spectral line at an angle of 0 = 5.1° in the second-order spectrum. 10) What is the wavelength of this spectral line? a. 1.1 nm b. 1.8 104 nm c. 1.9 x 105 nm d. 110 nm e. 2.2 nm