Physics 212 Exam I Sample Question Bank 2008 Multiple Choice ...

Physics 212 Exam I Sample Question Bank 2008An infinitely long solid conducting cylinder of radius a carries a charge perunit length λ. It is inside a concentric hollow conducting cylinder of innerradius b and outer radius c. The outer cylinder carries a net charge per unitlength of –λ.(A) Give an expression for the electric field in terms of the distance r from thecenter of the cylinder for the following regions:abcr < aa < r < bb < r < cc < rE(r)(B) Draw a graph of the electric field magnitude for 0 < r < 2c(C) What is the charge on the inner surface of the hollow field?(D) What is the charge on the outer surface of the hollow field?(E) Using your expression for E(r) for the region a < r < b , determineV ab by evaluating the final term inbb Vab= ∫ E ⋅ dl = ∫ E(r)draaa b crAn proton is accelerated from rest across a potential difference of 10 million Volts.a) What is the kinetic energy (in Joules) of the proton as it leaves the accelerator?b) What is the speed of the proton?The proton now makes a head on “collision” (approaching from “very far away”) with a gold nucleus(which has atomic number 79, and hence a charge of +79e). Assume the nucleus is stationary for thisproblem.c) What is the speed of the proton at the turn around point?d) What is the kinetic energy of the proton at the turn around point?e) What is the potential energy of the proton at the turn around point?f) What is the distance between the proton and the nucleus at the turn around point?protonproton accelerator +e +79egold nucleus