In the neck of the picture tube of a certain black-and-whitetelevision set, an e

Question

In the neck of the picture tube of a certain black-and-whitetelevision set, an electron gun contains two charged metalic plates2.60 cm apart. An electric forceaccelerates each electron in the beam from rest to 9.40% of the speed of light over this distance.(Ignore the effects of relativity in your calculations.)

(a) Determine the kinetic energy of theelectron as it leaves the electron gun. Electrons carry this energyto a phosphorescent material on the inner surface of the televisionscreen, making it glow.
1 J

(b) For an electron passing between the plates in the electron gun,determine the magnitude of the constant electric force acting onthe electron.
2 N

(c) Determine the electron's acceleration as it passes between theplates.
3 m/s2

(d) Determine the time of flight as the electron passes between theplates.
4 s (a) Determine the kinetic energy of theelectron as it leaves the electron gun. Electrons carry this energyto a phosphorescent material on the inner surface of the televisionscreen, making it glow.
1 J

(b) For an electron passing between the plates in the electron gun,determine the magnitude of the constant electric force acting onthe electron.
2 N

(c) Determine the electron's acceleration as it passes between theplates.
3 m/s2

(d) Determine the time of flight as the electron passes between theplates.
4 s

Explanation / Answer

KE = 1/2 m v2 = 1/2 * 9.11*10E-31 * (.094 *3*10E8)2 = 3.62 * 10E-16 J W = F d = KE    F. = 3.62 * 10E-16 / .026 = 1.39 * 10E-14 N a = F / m = 1.39 *10E-14 / 9.11 * 10E-31 = 1.53 * 10E16m/s2 s = 1/2 a t2 t = (2 s / 1.53 * 10E16) = 1.84 * 10E-9 sec t = (2 s / 1.53 * 10E16) = 1.84 * 10E-9 sec

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