quiz-3-02-23-10

quiz-3-02-23-10 - Print your name clearly: Signature: I...

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Print your name clearly: Signature: “I agree to neither give nor receive aid during this quiz.” Quiz 3 for Physics 176 Professor Greenside Tuesday, February 23, 2010 This quiz is closed book and no calculators or any other electronic devices are allowed. All answers must be written on the supplementary blank pages. Please remember to write your name and problem number on each extra page. 1. In a recent homework assignment, you showed (up to a constant factor) that the entropy S of a black hole of mass M is given by S = 8 π 2 k GM 2 hc , (1) where, to the nearest power of ten (zero significant digits): k 10 - 23 J / K is Boltzmann’s constant, G 10 - 10 N m 2 / kg 2 is the gravitational constant, h 10 - 33 J · s is Planck’s constant, and c 10 8 m / s is the speed of light. (a) (7 points) Given that the energy of a black hole is its relativistic rest mass U = Mc 2 , derive a formula for the temperature T of the black hole in terms of its mass. (b)
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quiz-3-02-23-10 - Print your name clearly: Signature: I...

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