Stephen Hawking has predicted the temperature of a black hole of mass M to be T Uc 3/8pkGM, where k is Boltzmann's constant.
(a) Calculate the temperature of a black hole with the mass of the sun. Discuss the implications of the temperature you calculate.
(b) Find the temperature of a supermassive black hole, which may exist at the center of some galaxies, with a mass 6.0 X 109 times the sun's mass.