Two solenoids are nested coaxially such that their magnetic fields point in opposite directions. Treat the solenoids as ideal. Theouter one has a radius of 20 mm, and the radius of the inner solenoid is 10 mm. The length, number of turns, and current of theouter solenoid are, respectively, 21.9 cm, 575 turns, and 4.71 A. For the inner solenoid the corresponding quantities are 18.7 cm,359 turns, and 1.17 A. The elementary charge is 1.602 × 10-¹9 C, the mass of the proton is 1.673 × 10-27 kg, and the vacuumpermeability constant has the value 4 × 10-7 T.m/A.At what speed v₁ should a proton be traveling, inside the apparatus and perpendicular to the magnetic field, if it is to orbit theaxis of the solenoids at a radius of 5.03 mm?

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