(a) How much energy (in MeV is released when Radium – 226 (m2-25 = 226.025402 u) alpha decays and becomes Radon – 222 (m-m = 222.017571 u)? The mass of the a – particle is mg=4.002602 u. Write the nuclear reaction. (b) If the nucleus was initially at rest, calculate the velocities of the a- particle and the Radon– 222 nucleus in part (a). (c) What percentage of the total kinetic energy does the a- particle carry away?

Uranium-235 is used as a nuclear fuel for Canadian made CANDU nuclear power plants. During one such fission reaction, a uranium-235 atom is split by a fast moving neutron to produce krypton-92, barium-141 and an unknown number of neutrons. Determine the number of neutrons produced by this reaction, record that value in blank #1. Determine the energy released by the reaction, rounded to the nearest whole MeV, record that in blank #2. Isotope Uranium-235 Krypton-92 Barium-141 Neutron Mass (u) 235.043930 91.92345 140.91440 1.008665

Uranium (protons = 92, neutrons = 146, atomic mass = 238.050788 u) decays via alpha decay to Thorium (protons = 90, neutrons = 144, atomic mass = 234.043601 u). What is the kinetic energy of the emitted alpha particle? (Hint: Any energy that is not locked up in rest energy of the product nuclei will go to kinetic energy in the alpha particle.) (Hint: the answer is 4.27 MeV)

A particle of mass m, is fired at a stationary particle of mass mg, and a reaction takes place in which new particles are created out of the incident kinetic energy. Taken together, the product particles have total mass mg. The minimum kinetic energy the bombarding particle must have so as to induce the reaction is called the threshold energy. At this energy, the kinetic energy of the products is a minimum, so the fraction of the incident kinetic energy that is available to create new particles is a maximum. This condition is met when all the product particles have the same velocity and the particles have no kinetic energy of motion relative to one another. (a) By using conservation of relativistic energy and momentum and the relativistic energy-momentum relation, show that the threshold kinetic energy is [m- (m, + m,)*]c² K. min 2m, Calculate the threshold kinetic energy for each of the following reactions: (b) p + p → p + p + p + p (one of the initial protons is at rest, and…

The mass of a sample is 0.91 u. What is its mass in MeV/c2?

A state-of-the-art proton decay experiment is expected to detect 47% of the proton decays in a body of water. Assuming protons have a lifetime of 1031 years, how many m3 of water would you need in order to see 6 decays per month?  (Assume a "month" is one-twelfth of a year.)

Outside the nucleus, the neutron itself is radioactive and decays into a proton, an electron, and an antineutrino. The half-life of a neutron (mass = 1.675 × 10-27 kg) outside the nucleus is 10.4 min. On average, over what distance x would a beam of 7.04-eV neutrons travel before the number of neutrons decreased to 75.0% of its initial value? Ignore relativistic effects. X = i

The mass of a sample is 0.02 u. What is its mass in MeV/c2?

The mass of a sample is 1.32 u. What is its mass in MeV/c2?

A rock contains the radioactive isotope ? − 40 that decays with a half-life of 1.3 ??????? ????? and the radioactive isotope ?? − 87 that decays with a half-life of 48.6 ??????? ?????. The rock is 100 ??????? ????? old. The rock currently has 1000 times as many ?? − 87 atoms as there are ? − 40 atoms. (That is, ??? = 1000 × ??.) When the rock first formed it had ? times as many ?? − 87 atoms as ? − 40 atoms. (That is, ???,0 = ? × ??,0.) What is the value of ??