Irodov Solutions → Atomic and Nuclear Physics → Nuclear Reactions
6.250. A neutron collides elastically with an initially stationary deuteron. Find the fraction of the kinetic energy lost by the neutron
6.251. Find the greatest possible angle through which a deuteron is scattered as a result of elastic collision with an initially stationary proton.
6.252. Assuming the radius of a nucleus to be equal to R = 0.13 sqrt(A;3) pm, where A is its mass number, evaluate the density of nuclei and the number of nucleons per unit volume of the nucleus.
6.253. Write missing symbols, denoted by x, in the following nuclear reactions:
6.254. Demonstrate that the binding energy of a nucleus with mass number A and charge Z can be found from Eq. (6.6b).
6.255. Find the binding energy of a nucleus consisting of equal numbers of protons and neutrons and having the radius one and a half times smaller than that of Al27 nucleus.
6.256. Making use of the tables of atomic masses, find:
6.258. Find the energy required for separation of a Ne20 nucleus into two alpha-particles and a C12 nucleus if it is known that the binding energies per one nucleon in Ne20, He4, and C12 nuclei are equal to 8.03, 7.07, and 7.68 MeV respectively.
6.259. Calculate in atomic mass units the mass of
6.260. The nuclei involved in the nuclear reaction A1 + A2 → A3 + A4 have the binding energies E1, E2, E3 and E4. Find the energy of this reaction.
6.261. Assuming that the splitting of a U235 nucleus liberates the energy of 200 MeV, find:
6.262. What amount of heat is liberated during the formation of one gram of He4 from deuterium H2? What mass of coal with calorific value of 30 kJ/g is thermally equivalent to the magnitude obtained?
6.288. How many neutrons are there in the hundredth generation if the fission process starts with N0 = 1000 neutrons and takes place in a medium with multiplication constant k = 1.05?
6.289. Find the number of neutrons generated per unit time in a uranium reactor whose thermal power is P = 100 MW if the average number of neutrons liberated in each nuclear splitting is ν = 2.5. Each splitting is assumed to release an energy E = 200 MeV.
6.290. In a thermal reactor the mean lifetime of one generation of thermal neutrons is τ = 0.10 s. Assuming the multiplication constant to be equal to k = 1.010, find: