hw01.pdf - Physics 5110 Spring 2020 Homework#1 Due in class Wednesday January 15th 1 What is the speed v of an \u03b1-particle with kinetic energy 4 MeV if

hw01.pdf - Physics 5110 Spring 2020 Homework#1 Due in class...

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Physics 5110, Spring 2020 Homework #1 Due in class Wednesday January 15 th 1. What is the speed v of an α -particle with kinetic energy 4 MeV, if you assume it to be nonrelativistic? How large an error do you make in neglecting special relativity in the calculation of v ? What is the closest that such an alpha particle can get to the center of a gold (Au) nucleus? 2. Consider the data in Table II of the Geiger-Marsden paper, PhilosophicalMagazine 25 p. 604 (1913). This paper is posted to the course web page along with this homework assignment. For the silver (Column III) and gold (Column V) scattering data, make a plot of the number of “scintillations” ( y -axis) versus deflection angle ( x -axis). Use N scint for your uncertainty.
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Unformatted text preview: Superimpose an appropriately-scaled curve proportional to 1 / sin4 ( θ/ 2) to show that theRutherford model is a reasonable description of α-particle scattering. Hints: Ignore the last six rows ot this table. Use a logarithmic scale for your y-axis to make the plot more readable.3. Martin Problem C.1, except have the alpha particle scatter off of 207 82Pb instead of bismuth. 4. For the system in Problem 3, estimate the counting rate in a 2 cm diameter detector at a distance of 150 cm from the interaction point. Assume an incident flux of 10 7 α-particles per second on a 0.1 cm thick lead foil. You will need to look up the density of lead....
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