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1271_Physics ProblemsTechnical Physics

# 1271_Physics ProblemsTechnical Physics - 612 Applications...

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612 Applications of Nuclear Physics (d) The decay rate for all steps in the radioactive series in steady state is set by the parent uranium: N = × F H G I K J × = × 7 00 10 238 6 02 10 1 77 10 4 23 26 . . . g g mol nuclei mol nuclei e j λ = = × = × ln ln . . 2 2 4 47 10 1 55 10 1 2 9 10 T yr 1 yr R N = = × F H G I K J × = × λ 1 55 10 1 77 10 2 75 10 10 26 16 . . . 1 yr nuclei decays yr e j , so P = = × F H G I K J × = × QR 51 7 2 75 10 1 60 10 2 27 10 16 13 5 . . . . MeV 1 yr J MeV J yr a f e j . (e) dose in rem = dose in rad × RBE 5 00 1 10 . . rem yr dose in rad yr = b g , giving dose in rad yr rad yr b g = 4 55 . The allowed whole-body dose is then 70 0 4 55 10 1 3 18 2 . . . kg rad yr J kg rad J yr b gb g F H G I K J = . P45.52 E E k T T B = = thermal eV a f 3 2 0 039 . E E T n = F H G I K J 1 2 where n number of collisions, and 0 039 1 2 2 0 10 6 . . = F H G I K J × n e j . Therefore, n = = 25 6 26 . collisions . P45.53 Conservation of linear momentum and energy can be applied to find the kinetic energy of the neutron. We first suppose the particles are moving nonrelativistically. The momentum of the alpha particle and that of the neutron must add to zero, so their velocities must be in opposite directions with magnitudes related by
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