In a certain particle accelerator, a proton beam with a diameter of 2.0 mm constitutes a current

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In a certain particle accelerator, a proton beam with a diameter of 2.0 mm constitutes a current of 1.0 mA. The kinetic energy of each proton is 20 MeV. The beam strikes a metal target and is absorbed by it.

(a) What is the number n of protons per unit volume in the beam?

(b) How many protons strike the target in 1.0 min?

(c) If the target is initially uncharged, express the charge of the target as a function of time.

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