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1) A nucleus of mass number A, initially at rest, absorbs a neutron which is moving very slowly (of negligible kinetic energy). The rest mass of the neutron is 1.0087 u. An alpha particle of mass 4.0026u leaves the reaction with velocity 1.37x10⁷ m/s, and a daughter nucleus of mass number A-3 and mass u is also observed leaving the reaction. Determine the kinetic energy, in MeV, to 3 three decimal places, of the daughter nucleus.
2) What is the Q-value of the above reaction, in MeV, to 3 decimal places?

3) What amount (to the nearest tenth of a milligram) of ²³⁵U would be needed to power your house for a month if you used kwh of electricity. Assume a 30% conversion efficiency and that exactly 0.9 MeV per nucleon is released in a fission.
4) Assuming that the fusion of Deuterium releases 3.27 MeV of energy per fusion what amount (to the nearest milligram) of deuterium would be needed to furnish the energy in the above problem? For comparison purposes assume 30% efficiency.
5) What would be the temperature (in units of 10⁹K to 2 decimal places) required to initiate the fusion reaction in the above question?

6) If you ingest a microcurie source of radiation which emits 4 MeV alpha rays which are all absorbed in a 10 kg portion of your body, what absorbed internal dose do you receive in 10 hours in millirads to 3 decimal places?
7) In a worst case scenario what would be the effective dose to the nearest millirem to 3 decimal places in the preceding question?

8) If in the course of a year you receive 10 mrad (millirads) of gamma radiation, 12 mrad of beta radiation and mrad of radiation with a QF of 4.0, what was your effective dose to the nearest mrem?