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Question 13 An alpha particle of mass m₂ = 6.645 x 10-27 kg, and charge q = +3.20 x 10-19 C was fired half way between two oppositely charged parallel conducting plates. The initial velocity of the alpha particle was = 2.45 x 10³ ms", parallel to the plates. The plates are x = 55.0 cm long and separated by h = 15.0 cm. A potential difference of 425 V is applied across the plates. The "flaring" of the electric field at the ends of the plates is negligible, so that the field can be considered uniform in the space between the plates and 0 outside. a. [2] Determine the magnitude and direction of the electric field between the plates. b. [2] Calculate the magnitude of the acceleration of the alpha particle while it is between the plates. c. [2] Find the time that elapses between the alpha particle entering the field and colliding with the negative plate. d. [2] Find the horizontal distance travelled by the alpha particle between the plates. e. [3] Find the magnitude and direction of the velocity of the alpha particle just before it hits the negative plate. Express the direction as an angle with respect to the plates.