Suppose a cyclotron is operated at an oscillator frequency of 15.0 MHz, magnetic field magnitude of 1.97 T, and has a dee radius R= 53.0 cm. What is the deuteron mass?

The electrical power output of a large nuclear reactor facility is 900 MW. It has a 35.0% efficiency in converting nuclear power to electrical. (a) What is the thermal nuclear power output in megawatts? (b) How many 235U nuclei fission each second, assuming the average fission produces 200 MeV? (c) What mass of 235U is fissioned in one year of fullpower operation?

(a) How many 239Pu nuclei must fission to produce a 20.0kT yield, assuming 200 MeV per fission? (b) What is the mass of this much 239Pu?

(a) What is the uncertainty in the energy released in the decay of a due to its short lifetime? (b) Is the uncertainty in 1his energy greater than or lees than the uncertainty in the mass of the tau neutrino? Discuss the source of the uncertainty.

The energy of 30.0 eV is required to ionize a molecule of the gas inside a Geiger tube, thereby producing an ion pair. Suppose a particle of ionizing radiation deposits 0.500 MeV of energy in this Geiger tube. What maximum number of ion pairs can it create?

(a) Estimate the mass of the luminous matter in the known universe, given there are 1011 galaxies, each containing 1011 stars of average mass 1.5 times that of our Sun. (b) How many protons (the most abundant nuclide) are there in this mates? (c) Estimate the total number of particles in the observable universe by multiplying the answer to (b) by two, since there is an electron for each proton, and then by 109, since there are far more particles (such as photons and neutrinos) in space than in luminous matter.

When a cyclotron shifts from deuterons to alpha particles it is necessary to drop the magnetic field slightly. If the atomic masses of 2H and He are 2.014102 amu and 4.002603 amu, what is the percentage decrease in field strength that is required?

3 a) The three neutrino mass eigenstates are labelled m1, m2 and m3. Experiments have determined that Am² = m² – mị = 7.5 x 10-5 eV² and |Am22| = |m3 – m3| 2.5 x 10-3 eV². Calculate the smallest possible values of mı, m2 and m3 for: (i) the normal mass hierarchy. (ii) the inverted mass hierarchy. b) When L is expressed in km, E, in GeV and Am2 in eV², the two-flavour mixing formula for the probability of a v neutrino appearing a distance L later as a ve neutrino is Am²[eV*] L[km] E„[GeV] P(v, → v.) = sin²(20) sin? ( 1.27 where 0 is the neutrino mixing angle, Am² is the difference in the squared masses of the neutrino eigenstates and E, is the neutrino energy. The terms in square brackets denote the parameters' units. Assuming E, = 1.3 GeV, Am² = 2.5x10-3 eV² and sin 0 = /3/2, sketch P(v, → ve) and P(v → vµ) as a function of L in the range 0< L[km] < 3000. %3D For a long baseline experiment designed to detect muon-neutrinos with the param- eters E, distance L where the muon-neutrino…

Calculate the binding energy per nucleon (in units of MeV) for 9Be, for which the atomic mass is 9.01219 amu. [Particle masses in amu are: proton = 1.007277; neutron = 1.008665; electron = 0.0005486].a. 6.46 MeV b.6.33 MeV c. 6.23 MeV d. 11.39 MeV

Ch31 P34. A rare decay mode has been observed in which 222 Ra emits a 14C nucleus. The decay equation is 222 Ra AX+¹4C and you have identified unknown nuclide, AX, in the problem of Section 31.4. You'll need to use that answer in this problem. (a) Find the mass change from the parent nuclide to the daughter nuclides. Enter your answer to 7 SigFigs. The mass change answers in nuclear decays must be correct to 6 places past the decimal point. Units are not required for this problem. u. (b) Find the energy emitted in the decay in units of MeV. The mass of 222Ra is 222.015353 u. Enter your answer to 3sigFigs in MeV. Units are not required in this answer. Mev. Check