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MasteringPhysics: HW +8 - Microsoft Edge ? masteringphysics.com/myct/itemView?a 15272 Prob Enhanced-with Feedback 4 of 10 r att What is the speed of the deuterons when they exit? Express your answer with the appropriate units. Constants A cyclotron is used to produce a beam of high-energy deuterons that then collide with a target to produce radioactive isotopes for a medical procedure. Deuterons are nuclei of deuterium, an isotope of hydrogen, consisting of one neutron and one proton, with total mass 3.34 x 10 kg. The deuterons exit the cyclotron with a kinetic energy of 4.60 MeV Value Units You may want to review Pages 778-783) Submit Part B If the magnetic field inside the cyclotron is 1.25 T, what is the diameter of the deuterons' largest orbit, just before they exit? Express your answer with the appropriate units. Id=1 Value Units Submit Part C If the beam current is 360 AA how many deuterons strike the target each second? deuetrons O Type here to search 9:28 PM 4/4/2018

Explanation / Answer

a) KE = 1/2 m v2

(4.6 * 106 * 1.6 * 10-19) = 1/2 * 3.34 * 10-27 * v2

speed v = 2.09 * 107 m/s

b) q v B = m v2 / r

2 m v / d = q B

(2 * 3.34 * 10-27 * 2.09 * 107) / d = 1.6 * 10-19 * 1.25

d = (2 * 3.34 * 10-27 * 2.09 * 107) / 1.6 * 10-19 * 1.25

diameter , d = 0.70 m

c) I = n q / t

n = 360 * 10-6 * 1.0 / 1.6 * 10-19

n = 2.25 * 1015

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