(a) What is the angular separation of two stars if their images are barely resol

Question

                    (a) What is the angular separation of two stars if their images are barely resolved by a refracting telescope with a lens diameter of 100 cm and a focal                     length of 13 m. Assume gamma = 550 nm. (b) Find the distance between these barely resolved stars in meters if each of them is 12 light-years distant from                     Earth. (c) For the image of a single star in this telescope, find the diameter of the first dark ring in the diffraction pattern in meters, as measured                     on a photographic plate placed at the focal plane of the telescope lens. Assume that the structure of the image is associated entirely with diffraction at the                     lens aperture and not with lens "errors."                 

                

                    
                

                                     Please type out final answer and clearly label which answer is which

Explanation / Answer

? = 550 nm = 550 x 10-9m d = 100 cm = 1 m f = 13 m (a) angular seperation is given by ?R = 1.22 ? / d =............rad (b) 1 light year = 9.461 x 1015 m L = 10 light-yerars the distance between the stars will be D = L ?R = ...............km (c) the diameter of the first dark ring in thediffractionpattern will be d = 2 ?R L = .................mm d = 2 ?R L = .................mm

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