Modern Physics for Scientists and Engineers
Modern Physics for Scientists and Engineers
4th Edition
ISBN: 9781133103721
Author: Stephen T. Thornton, Andrew Rex
Publisher: Cengage Learning
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Chapter 4, Problem 5P

(a)

To determine

The impact parameter for scattering a 7.7MeV α particle from gold at an angle of 1°.

(b)

To determine

The impact parameter for scattering a 7.7MeV α particle from gold at an angle of 90° .

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In an alpha particle (42He) scattering experiment, using a thin gold (19779Au) foil, the initial kinetic energy of the alpha particle is 2.0MeV.  What is the potential energy of the alpha particle/gold nucleus system at closest impact?
A beam of α particles of kinetic energy E = 10 MeV and intensity I = 1 μ A hits a lead target [A = 207, Z = 82, ρ = 1.14 x 104 kg m-3] of thickness t = 0.2 mm. We locate a counter of area S = 1 cm2 at a distance of l = 0.5 m beyond the target at the angle θ = 40°. Neglecting, when necessary, the variation of the angle on the detector find: (a) the number of incident particles per second Ri, (b) the solid angle ΔΩ under which the target sees the detector, (c) the differential cross-section at the detector, and (d) how many hits the detector counts per second.
A 3.0 MeV proton is incident on a potential energy barrier of thickness 10 fm and height 10 MeV.What are (a) the transmission coefficient T, (b) the kinetic energy Kt the proton will have on the other side of the barrier if it tunnels through the barrier, and (c) the kinetic energy Kr it will have if it reflects from the barrier? A 3.0 MeV deuteron (the same charge but twice the mass as a proton) is incident on the same barrier.What are (d) T, (e) Kt, and (f) Kr?
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