1. Alpha particles, each having a charge of +2e and a mass of 6.64 * 10^-27 kg, are accelerated in a uniform 0.5 T magnetic field to a final orbit radius of 0.5 m. The field is perpendicular to the velocity of the particles. What is the kinetic energy of an alpha particle in the final orbit? (1 eV = 1.6 * 10^-19 J, e = 1.6*10^-19 C)
A. 3.0 MeV B. 4.3 MeV C. 3.9 MeV D. 3.4 MeV E. 2.6 MeV
2. A circular coil with 600 turns has a radius of 15 cm. The coil is rotating about an axis perpendicular to a magnetic field of 0.020 T. If the maximum induced emf in the coil is 1.6 V, at what angular frequency is the coil rotating?
A) 0.90 rad/s B) 0.30 rad/s C) 1.9 rad/s D) 1.4 rad/s E) 0.6 rad/s
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