1. In 1844, the German astronomer Friedrich Bessel used measurements of changes in the motion of a star called Sirius to argue that it was nearby another, unseen star (Sirius B). These measurements showed that the angular separation between the visible Sirius A and proposed Sirius B was between 3 and 11 arcseconds. 60 arcsecond = 1 arcminute 60 arcminute = 1 degree = 3600 arcsec Answer the following questions assuming two different scenarios: a. The angular distance between the stars is 3 arcseconds. b. The angular distance between the stars is 1 1 arcseconds. 1. If you want to conrm this discovery by directly observing with a telescope, what is the minimum diameter of a telescope to resolve this binary system using light with a wavelength of 550 nm? What magnication do we need to resolve these when the resolution of the eye is 2 arcminutes? If the focal length of the telescope's objective lens is 80 cm, what should the focal length of the eyepiece be to resolve the components by eye (resolution of the eye is 2 arcminutes)? 4. If you look at the moon with this setup of the telescope, what would the angular size of the moon be through the telescope? (Note that the angular diameter of the moon is 30 arcminutes.) 9!\