hw06.pdf - Physics 5110 Spring 2020 Homework#6 Due in class Friday February 21st 1 If the stable isotope of sodium is(a 22 Na(b 24 Na 23 Na what kind of

hw06.pdf - Physics 5110 Spring 2020 Homework#6 Due in class...

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Physics 5110, Spring 2020 Homework #6 Due in class Friday February 21 st 1. If the stable isotope of sodium is 23 Na, what kind of radioactivity would you expect from: (a) 22 Na (b) 24 Na Be sure to explain your reasoning. 2. Specify any additional particles needed in the following weak reactions to assure the conser- vation of lepton number: (a) μ - -→ e - + ? (b) τ + -→ e + + ? (c) e - + A X Z -→ ? (d) ν μ + n -→ ? (e) A X Z -→ A Y Z + ? (f) ν e + p -→ ? 3. Every month, starting with month 0, a Geiger counter records the activity in counts per minute from a particular radioactive source. The data is plotted in the table below. (a) Plot this data (rate on y -axis versus time on x -axis), including uncertainties in the rate. You may assume that the uncertainty is equal to n , where n is the number of counts recorded. You may want, but are not required to, plot this data using a logarithmic y -axis. (b) Use the data to estimate the half-life, in months, of this particular source. Month Counts per minute 0 788 1 737 2 695 3 634 4 564 5 539 6 479 7 426 8 430 9 413 10 407 11 358 12 332
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4. For various applications in nuclear physics it is useful to slow down or
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Unformatted text preview: moderate energetic ( ∼ 1 MeV) neutrons that are the result of fission events. Demonstrate quantitatively that moderators consisting light elements ( e.g.hydrogen) make more efficient moderators than heavy elements (e.g. aluminum) by calculating the maximum energy that a∼ 1 MeV neutron can lose in a collision with a hydrogen nucleus and with an iron nucleus. 5. 239Pu 94 can undergo neutron-induced fission into 96Zr 40 and 136 Xe54 . Write the full reac- tion equation, and calculate the rate (in grams per second) at which plutonium would be consumed in order to produce 100 MW of heat, if this is the only reaction occurring. 6. If the reaction D + T-→4 He 2 + n ( D andT stand for deuterium and tritium, respectively) is employed in a hydrogen bomb designed to provide 10 16J of energy, calculate the required amount of D and T (in kilograms)required. Assume the reaction is 100% efficient, that is, that all the D and T are consumed....
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