# 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 (a) in a head-on collision; (b) in scattering at right angles. Free solution >> 6.251. Find the greatest possible angle through which a deuteron is scattered as a result of elastic collision with an initially stationary proton. Free solution >> 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. Free solution >> 6.253. Write missing symbols, denoted by x, in the following nuclear reactions: (a) B10 (x, α) Be8; (b) O17 (d, n) x; (c) Na23 (p, x) Ne20; (d) x (p, n) Ar37. Free solution >> 6.254. Demonstrate that the binding energy of a nucleus with mass number A and charge Z can be found from Eq. (6.6b). Free solution >> 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. Free solution >> 6.256. Making use of the tables of atomic masses, find: (a) the mean binding energy per one nucleon in O16 nucleus; (b) the binding energy of a neutron and an alpha-particle in a B11 nucleus; (c) the energy required for separation of an O16 nucleus into four identical particles. Free solution >> 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. Free solution >> 6.259. Calculate in atomic mass units the mass of (a) a Li8 atom whose nucleus has the binding energy 41.3 MeV; (b) a C10 nucleus whose binding energy per nucleon is equal to 6.04 MeV. Free solution >> 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. Free solution >> 6.261. Assuming that the splitting of a U235 nucleus liberates the energy of 200 MeV, find: (a) the energy liberated in the fission of one kilogram of U235 isotope, and the mass of coal with calorific value of 30 kJ/g which is equivalent to that for one kg of U235; (b) the mass of U235 isotope split during the explosion of the atomic bomb with 30 kt trotyl equivalent if the calorific value of trotyl is 4.1 kJ/g. Free solution >> 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? Free solution >> 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? Free solution >> 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. Free solution >> 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: (a) how many times the number of neutrons in the reactor, and consequently its power, will increase over t = 1.0 min; (b) the period T of the reactor, i.e. the time period over which its power increases e-fold. Free solution >>