probset1 - Physics 141(Spring 2009 Problem Set#1(due 6...

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Unformatted text preview: Physics 141 (Spring 2009): Problem Set #1 (due 6 February 2009) Chapter 1 : Questions: 1, 3, (9), 11 Problems: (3), (7), 8, (10), 12, (21), 25, (62), (63), 67, 98. Chapter 2 : Questions: (7), (8), 10, 11, (12), (14), 17, 19. Problems: 15, 36, (38), (39), 43, 46, 54, 59, 69, 76, (77), (78), 80, 81, 84, 85, 87, (88), 90, (92), 96, (98). Supplementary Problems : 1. A googol is defined to be 10 100 . It turns out that string theory gives rise to equa- tions that are believed to have approximately 10 500 solutions, each corresponding to a possible alternative universe. How many googols of universes is this? You may need to express your answer itself in googols ( i.e. , as googols of googols, or googols of googols of googols, or ...). If we define an altervister as a googol of googols, how many altervisters of string-theory solutions are there? (Note that 10 googol is actually called a googolplex .) 2. Three of the fundamental constants of nature are c (the speed of light), with di- mensions [ c ] = L/T ; ¯ h (Planck’s constant, which sets the scale of quantum mechan- ics), with dimensions [¯ h ] = ML 2 /T ; and G (Newton’s constant, which describes the strength of gravity), with dimensions [ G ] = L...
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This note was uploaded on 08/24/2010 for the course PHYS 141 taught by Professor Dienes during the Spring '08 term at Arizona.

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probset1 - Physics 141(Spring 2009 Problem Set#1(due 6...

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