To estimate the mass m, of neutron Chadwick directed beam of projectile neutrons all having the same velocity at two different targets of hydrogen and nitrogen. The projectile neutrons after hitting the target nuclei made them to recoil. Answer the following questions. (a) If the maximum recoil speeds of the targets are denoted by vy and VN then show that PN-PH mn = (Na-Ha Where PN and PH are momenta of the targets. (b) Assume the measured speeds of the targets were vy = 3.3 x 10'm/s, vy = 4.7 x 106 m/s. Using these data estimate the value for m,

In a scattering experiment, an alpha particle A is projected with the velocity up = -(600 m/s)i + (750 m/s)j - (800 m/s)k into a stream of oxygen nuclei moving with a common velocity vo = (630 m/s)j. After colliding successively with nuclei B and C, particle A is observed to move along the path defined by the Points A₁(280, 240, 120) and A2(360, 320, 160), while nuclei B and Care observed to move along paths defined, respectively, by B₁(147, 220, 130), B2(114, 290, 120), and by C₁(240, 232, 90) and C₂(240, 280, 75). All paths are along straight lines and all coordinates are expressed in millimeters. Knowing that the mass of an oxygen nucleus is four times that of an alpha particle, determine the speed of each of the three particles after the collisions. The speed of particle A is The speed of particle B is The speed of particle Cis m/s. m/s. m/s.

Consider the following a-decay of the Uranium nucleus 236 U → 332Th + a. 90 (a) Show how the mass number (Aa) and atomic number (Za) of the alpha particle are obtained from this equation. (b) Calculate the Q-value (Qa) of the reaction. (c) Calculate the speed va = √2MQ of the alpha particle after it has been ejected from the parent nucleus, in terms of the speed of light c. M = -, mp and ma are the atomic masses (ma+mp) x ma mp of the daugher nucleus and the alpha particle, respectively. (d) Calculate the classical turning radius Re= 2Zpe²/Qa, where Zp is the atomic number of the daughter nucleus, and e² = 1.44 MeV. fm. (e) Calculate the decay probability Pa that the alpha particle will tunnel through the barrier. HINT: In calculating the probability, use the fact that ħc=197.327 MeV fm. The formula to use is given on page 5.

A beam of 6.76 MeV protons is incident on a target of 2713Al. Those that collide produce the following reaction. p + 2713Al  2714Si +1 + n (Neutral 2714Si has mass 26.986705 u.) Ignoring any recoil of the product nucleus, determine the kinetic energy of the emerging neutrons.  answer in MeV

A nuclear fusion reactor such as ITER is expected to use the nuclear reaction, H + H → X +Y+ 17.59 ? Write this reaction with the correct symbols in place of the question marks.

210- 84 X (atomic mass = 209.98285 u) undergoes a decay. Assuming all the released energy is in the form of kinetic energy of the a particle (atomic mass = 4.002603 u) and ignoring the recoil of the daughter nucleus (206X1 atomic mass = 205.97444 u), find the speed of the a particle. 82 Ignore relativistic effects. Number Units

A nuclear power station delivers 1 GW of electricity for a year from uranium fission. Given that a single fission event delivers about 200 MeV of heat, estimate the number of atoms that underwent fission, their mass, and the loss of mass of the fuel elements.

In class I derived the ordinary nuclear density to be about 0.138 u/fm3. A neutron star is a collapsed star that contains neutrons in a highly compactified state, so its average density is higher. Assume a neutron star is spherical and has an average density which is about twice the ordinary nuclear density. If it is 50% heavier than the Sun, what would be its radius? (Given: mass of sun = 2*1030 kg, 1 u = 1.66*10-27 kg.) A) 14.6 km                      B) 11.6 km                      C) 10.1 km                      D) none of these.

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

b & c