Stars from what part of the main sequence are likely to become black holes? Explain your answer (You may need to look for additional information to answer this question) b)If you were to look up into the sky for a few hours, and see 100 stars (or take a picture of 100 stars making up a starfield), why would you see the particular stars that you see out of the billions of stars in the Universe\'? Include two main reasons (Thinking about magnitude might help you answer this question) C)Many variable stars are stars in the Yellow or Red Giant stages List at least two such categories of variable stars. Solution a) Most black holes form from the remnants of a large star that dies in a supernova explosion. (Smaller stars become dense neutron stars, which are not massive enough to trap light.) If the total mass of the star is large enough (about three times the mass of the Sun), it can be proven theoretically that no force can keep the star from collapsing under the influence of gravity. However, as the star collapses, a strange thing occurs. As the surface of the star nears an imaginary surface called the \"event horizon,\" time on the star slows relative to the time kept by observers far away. When the surface reaches the event horizon, time stands still, and the star can collapse no more - it is a frozen collapsing object. b) Whether we are able to see an object or not just depends only on the amount of light that is reaching us and is independent of its size. If you cannot see an object, it just means that the amount of light coming is not enough for your eye to discern it. It is true that the angular size of stars is extremely small and that is the reason why no telescope has ever taken a well resolved picture of a star. For us at the Earth, the atmosphere causes an angular blurring by scintillation (which is why stars twinkle) and smears their size to about 1 arcsecond (which is 1/3600 of a degree). Even for telescopes like Hubble which is above the Earth\'s atmosphere, the star\'s angular size is too small to be resolved. But remember that each star produces a lot of light which is more than enough for the eye to discern them. Hence we see stars; However they are too small; so we see them as points and not disks (as you would with planets). c) Variable stars may be either intrinsic or extrinsic. These subgroups themselves are further divided into specific types of variable stars that are usually named after their prototype. For example, dwarf novae are designated U Geminorum stars after the first recognized star in the class, U Geminorum..