Question

The Large Hadron Collider at CERN creates proton beams which collide together resulting in pictures like the one at the right. Some of these beams can have a radius of 1.1 mm with a current of 1.5 mA. The kinetic energy of each proton in this beam is 2.5 MeV. (a) Calculate the number density of the protons in the beam. (b) If the beam is aimed at a metal target, how many protons would strike the screen in 1 minute?

Answer 1

a)The number density is, 1.5x 10 1.67x 10-27 π 1.6×10-19)(1.1×10%) ·12( 2.5x1ợ 1.6x10-19 j 1 eV -1.13x104 /m3 b)The number of protons is evA IAt 1.5x10-3) (1x 60) 1.6×10-19 = 5.625x 1017