SA1. Consider two different alpha-particle scattering experiments, one in which theparticle is deflected by 45° and another in which it is deflected from the same target by135°. In the 45° scattering experiment, is the maximum force experienced by the alphaparticle greater than, less than, or the same as the maximum force experienced by thealpha particle in the 135° scattering experiment? EXPLAIN YOUR ANSWER.

The Reason is in 135 degree scattering experiment, alpha particle was close to the nucleus which…

Answered: SA1. Consider two different…

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3. A beam of helium-3 atoms (m = 3.016 u) is incident on a target of nitrogen-14 atoms (m = 14.003 u) at rest. Dur- ing the collision, a proton from the helium-3 nucleus passes to the nitrogen nucleus, so that following the col- lision there are two atoms: an atom of "heavy hydro- gen" (deuterium, m = 2.014 u) and an atom of oxygen-15 15.003 u). The incident helium atoms are moving at (m a velocity of 6.346 × 10° m/s. After the collision, the deu- terium atoms are observed to be moving forward (in the same direction as the initial helium atoms) with a velocity of 1.531 x 10' m/s. (a) What is the final velocity of the oxygen-15 atoms? (b) Compare the total kinetic energies before and after the collision.
3. a) Alpha particles of the same initial speed are shot at the same intensity toward gold, silver, and aluminum foils of the same thickness. They are observed at a detector at a fixed scattering angle, 0 0°. What would the ratios of the number of alpha particles scattered by the gold and silver foils to the aluminum foil, No Au 13). NaAl and respectively, be? (ZAu = 79, ZAg = 47, ZAI Na Ag NaAl b) Compare the number of a particles of fixed kinetic energy scattered through an angle of 10° (call this Na(10°)) with the number scattered through an angle of 20° (Na (20°)) for Rutherford scattering by a thin gold foil of fixed thickness. Compute Na (10⁰) Na (20°). p2 Rutherford's scattering model assumes that the alpha particles experience a Coulomb repulsion, F = KqZe from the nucleus of the foil's atom. If, in a head-on collision the alpha particle has enough energy to get inside a uniformly charged Kqa Zer nucleus of radius R, the force law would change to F = R³ " point-nucleus…
14:56 Sun 19 May 2 of 8 SECTION A qmplus.qmul.ac.uk Answer ALL questions in Section A Expect to use about half a page for each section A solution. Question A1 Give the term used in condensed matter physics for each of the following: a) The centre of the Brillouin zone [1 mark] b) A method for generating a neutron beam by bombarding a heavy metal target with protons [1 mark] c) The group of atoms associated with each lattice point in a crystal structure d) The Fourier transform of the lattice of a crystal [1 mark] [1 mark] e) A vibrational mode whose frequency tends to zero as the wavevector approaches zero [1 mark] f) A model of electronic structure in which electrons move in a weak, periodic potential and do not interact with each other by the Coulomb force [1 mark] Question A2 The body-centred cubic structure is common among metals. a) How many nearest neighbours has each atom in this structure? Give the nearest-neighbour distance in terms of the unit cell parameter a. [2 marks] b)…
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