The mass of alpha particles is 6.64 × 10^-27 Kg and their charge is 3.20 × 10^-19 C. An alpha particle emitted by a radioactive substance moves into a region of uniform magnetic field given by B = (2.0 0T)î + (3.20 T)ĵ. At a given moment, the alpha particle has a velocity v = (12.00 × 10⁴ m/s)î. Find i) the magnitude of the acceleration and ii) the direction of the acceleration vector at this particular moment.

• A. i) a = 1.15 × 10¹³ m/s² ii) the acceleration is in the positive z-direction
• B. i) a = 1.15 × 10¹³ m/s² ii) the acceleration is in the negative z-direction
• C. i) a = 1.85 × 10¹³ m/s² ii) the acceleration is in the positive z-direction
• D. i) a = 1.85 × 10¹³ m/s² ii) the acceleration is in the negative z-direction

Answer: (C)