Question

4. Protons are trapped by the Earth's magnetic field in the Van Ellen belt 40,000 miles above. The protons have a KE of 100Mey and their velocity makes an angle of 530 with the magnetic field of the earth whose value is 10-5 T. a) Find the velocity of these protons and their components parallel and transverse to the field, b) the period and frequency of rotation, c) the radius of their helical paths and the pitch of the helix and d) the transit time from one pole to the other whose distance is 12000 miles. For reference diagram refer to positron problem #11 in HRK Textbook.