An a particle is emitted by a 238Th nucleus. Assuming the potential to be purely Coulombie beyond the point of separation, the height of the Coulomb barrier is MeV (up to two decimal places). 1.44 MeV-fm, ro = 1.30 fm) 4περ
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- 55 MeV a-particles are incident nomally upon a target of gold foil 1.0 µm thick. A fraction 1 in 108 per second was scattered through an angle of 60° and detected by a scintillation detector of area 25 mm? at a distance of 50 mm. Calculate: i) The number of the nuclei per unit volume in the target ii) The size of the solid angle d2 (with its proper unit) subtended by the detector. iii) The atomic number of the gold (gold has atomic mass 197 u and density 1.93x10ʻkg/m³)Suppose you are producing nanoparticles in a vacuum chamber with a pressure of 150 Pa. What is the size of the critical nucleus at 1473 K for (a) copper and (b) gold?Use the uncertainty principle ∆p ∆x > h/2 to calculate the minimum kinetic energy of a nucleon known to be confi ned in 2H. What is the de Broglie wavelength of this nucleon? Is this reasonable?
- An a particle is emitted by a 230 Th nucleus. Assuming the potential to be purely Coulombic beyond the point of separation, the height of the Coulomb barrier is MeV (up to two decimal places). e? =1.44 MeV-fm, r, =1.30 fm ) 4T EoIn Rutherford scattering we noted that angular momentum is conserved. The angular momentum of the incident αparticle relative to the target nucleus is mv0b where m is the mass, v0 is the initial velocity of the αparticle, and b is the impact parameter. Start with L = r x p and show that angular momentum is conserved, and the magnitude is given by mv0b along the entire path of theα particle while it is scattered by the Coulomb force from a gold nucleus.Q.1. (a) For a nucleus zXx write down the equations for a, B+, B-, y, decay to a nucleus Y.
- T39HW What is the Linear Energy Transfer resulting from the passage of a 0.1-MeV beta particle through standard air (where NZ=3.88x102º electron/cm² and I=8.6x10$ for air) use the relativity for the kinetic energy of electrondefines the g-value of a nucleus in terms of the magnetogyric ratio. Given that g is a dimensionless number, what are the units of γN expressed in (a) tesla and hertz, (b) Sl base units?
- d) Using the SEMF show that the neutron separation energy S, is given approximately by 1-2A + 4Z A 2as 3A¹/3 ac Z² + 3 A4/3 Snav You may use the approximations Z(Z − 1) ≈ Z², A(A − 1) ≈ A² and (A − 1)" ≈ An — nA¹-1, and ignore the pairing term. + as(b) An a particle has a range of 300 μm in a nuclear emulsion. What range would you expect for a) a He³ nucleus, (b) a H³ nucleus, each of the initial velocity as the a particle?