616 Applications of Nuclear PhysicsP45.60(a)IIIeexxx21002121==−−−−µµµbg(b)IIee50100540 41.0 010035635 2=....afaf(c)II50100.0 1.0035 615289 10=×...afThus, a 1.00-cm aluminum plate has essentially removed the long-wavelength x-rays fromthe beam.*P45.61(a)The number of fissions ocurring in the zeroth, first, second, …nth generation isNNKNKNKn00020,,,,….The total number of fissions that have ocurred up to and including the nth generation isN NNK NKNKNK KKnn=++++=++++0221……ej.Note that the factoring of the difference of two squares, aaa2111−= +−, can begeneralized to a difference of two quantities to any power,aaaan32211−=−++ + ++−+−….ThusKKKKn+++=−−−+121111…andKKn=−−+0111.(b)The number of U-235 nuclei isN=FHGIKJ×FHGIKJ=×−5501141 102725kg
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