1249_Physics ProblemsTechnical Physics

1249_Physics ProblemsTechnical Physics - 590 P44.65 Nuclear...

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590 Nuclear Structure P44.65 (a) One liter of milk contains this many 40 K nuclei: N T RN = × F H G I K J F H G I K J == ×× F H G I K J × × = −− 200 g 602 10 39 1 00117 100 360 10 22 128 10 1 172 10 1 72 10 3 60 10 61 8 23 18 12 9 17 1 17 1 18 . . . . . ln ln . . .. . bg ej e j nuclei mol gmo l nuclei yr yr 3.156 10 s s s B q 7 λ (b) For the iodine, RR e t = 0 with = ln . 2 804±d t R R = F H G I K J = F H G I K J = 18 0 4 2 2000 61 8 40 3 0 ln . ln ln . . d d P44.66 (a) For cobalt–56, F H G I K J = ln ln . . . 77 1 365 25 328 1 T d d 1 yr yr . The elapsed time from July 1054 to July 2003 is 949 yr. e t = 0 implies R R ee e e t 0 949 3116 10 1 353 1353 1 10 = = = . ln ~ yr yr af . (b) For carbon–14, × = = −× ln . . . 2 5730 121 10 0892 41 0 1.21 10 949 0115 yr yr yr yr R R e t P44.67 We have NN e t 235 0 235 235 = , and e t 238 0 238 238
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