a-Resolving the diameter of a neighbouring star- A 10 M telescope with focal ratio 15 because higher is the focal ratio , less is the area of vision , so for observing a single star, a telescope with focal ratio 15 is best.
b-Surveying a very large area of sky quickly-A 2.5 M telescope with focal ratio 5 because ,lower is the focal ratio ,wider is the view.
c-Measuring the spectrum of faint distant galaxies-The inferometer because they can produce images of distant galaxies with the angular resolution of a HUGE telescope.
A commonly asked question is "Which telescope is the most powerful?" Con sider the following three...