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PLEASE SHOW ALL OF YOU WEEK!!!!!!!! Each of the electrons in the beam of a telev

ID: 1498452 • Letter: P

Question

PLEASE SHOW ALL OF YOU WEEK!!!!!!!!

Each of the electrons in the beam of a television tube has a kinetic energy of 15.0 keV. The tube is oriented so that the electrons move horizontally from south to north. The vertical component of Earth's magnetic field points down and has a magnitude of 54.0 mu T. (Ignore the northward component of Earth's field.) In what direction will the electron beam deflect? south up east down west north Submit Answer Tries 0/16 Calculate the acceleration of a single electron due to the Earth's magnetic field. Submit Answer Tries 0/32 How far will the beam deflect if it moves a distance of 19.0 cm to the north through the television tube? Submit Answer Tries 0/16

Explanation / Answer

1. East

2. v = sqrt(2KE/m(e)) = sqrt( 2*15*10^3*1.6*10^-19/ 9.1*10^-31)

v = 7.2610^7m/s

Acceleration,

F = ma = Bev

a = Bev/m = 54*10^-6*1.6*10^-19*7.26*10^7/9.1*10^-31

a = 68.93*10^13 m/s2

c)
time of flight t = d/v = 0.19/7.26*10^7 = 26*10^-10 s


deflection d = at^2/2 = 68.93*10^13*26^2*10^-20 = 2.3 mm

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