3. Muon beam (8 points) Physicists at Brookhaven National Lab want to construct an accelerator that produces a beam of high-energy muons. Muons (u') are heavy cousins of electrons, with the same electric charge q\" = - e, but with a larger mass mu = 207mg = 1.9 X 1028 kg. (The mass of an electron is 9.1 X 10'31 kg.) Initially the beam consists of both electrons and muons, traveling down a. straight pipe. In order to separate the electrons from the muons, the pipe enters a constant magnetic eld and makes a right angle turn with radius of curvature R = 0.2 m, as shown in the gure below. , Example Final Exam 3 of 4 (a) (3_ points) If the muons have a velocity of 1.8 x 10'1 m/s, what magnetic eld is needed in order for the muons to curve and continue down the pipe. Be sure to specify both the magnitude and direction of the magnetic eld. (b) (2 points) The electrons have the same kinetic energy as the muons. What is the velocity of the electrons? (c) (3 points) Describe what happens to the electrons when they arrive at the curve in the pipe