1275_Physics ProblemsTechnical Physics

1275_Physics ProblemsTechnical Physics - 616 Applications...

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616 Applications of Nuclear Physics P45.60 (a) I I Ie e x x x 2 1 0 0 2 1 21 == −− µ µµ bg (b) I I ee 50 100 540 41 .0 0100 356 35 2 = .. . . af a f (c) I I 50 100 .0 1 .00 35 6 15 289 10 = × . . . a f Thus, a 1.00-cm aluminum plate has essentially removed the long-wavelength x-rays from the beam. *P45.61 (a) The number of fissions ocurring in the zeroth, first, second, n th generation is NN KN K N K n 00 0 2 0 ,, , , . The total number of fissions that have ocurred up to and including the n th generation is N N NK NK NK N K K K nn =+ + + + = + ++ + 0 2 2 1 …… ej . Note that the factoring of the difference of two squares, aa a 2 11 1 −= + , can be generalized to a difference of two quantities to any power, a a a a n 32 2 1 1 −= + + + ++ +− . Thus KK K K n + + + = + 12 1 1 1 1 and K K n = + 0 1 1 1 . (b) The number of U-235 nuclei is N = F H G I K J × F H G I K J 550 1 141 10 27 25 kg
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