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•• In Thomson’s experiment electrons travel with velocity v in the x direction. They enter a uniform electric field E, which points in the y direction and has total width l (Fig. 1). Find the time for an electron to cross the field and the y component of its velocity when it leaves the field. Hence show that its velocity is deflected through an angle θ ≈ eEl/(mv2) (provided that θ is small). Assume that the electrons are nonrelativistic, as was the case for Thomson.
FIGURE 1
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