A proton moving at speed v = 1 x 107 m/s enters a region in space where a magnetic field given by B = (-0.3 T) 2 exists. The velocity vector of the proton is at an angle = 53 with respect to the positive y-axis. (Take mass and charge of proton as 1.6 x 10-27 kg and 1.6 x 10-19 C respectively). THI 8. Calculate the radius, r, of the trajectory projected onto a plane perpendicular to the magnetic field (in the xy-plane). (a) 0.2 m (b) 2 m (c) 0.4 m (d) 4 m (e) 1 m 9. Calculate the period, T, of the motion in that plane. (a) 2x 10-7 s (b) 2x 10- s (c) 2 s (d) 200 s (e) 2 x 105 s 10. Calculate the frequency, f, of the motion in that plane. (a) 5 x 106 1/s (b) 5 x 102 1/s (c) 0.5 1/s (d) 5 x 10-3 1/s (e) 5 x 10-6 1/s. 11. Calculate the pitch of the motion (the distance traveled by the proton in the direction of the magnetic field in 1 period).. (a) 1.6 m (b) 0.2 m (c) 0.4 m (d) 0.8 m (e) 3.2 m 12. Calculate the energy change after one complete turn. (a) 0 J (b) 2x 10-13 J (c) 2x 10-14 J (d) 3 x 10-13 J (e) 3 x 10-14 J Ke