In an x-ray tube, electrons are accelerated in a uniform electric field and then

Question

In an x-ray tube, electrons are accelerated in a uniform electric field and then strike a metal target. Suppose an electron starting from rest is accelerated in a uniform electric field directed horizontally and having a magnitude of 3000N/C . The electric field covers a region of space 12.5cm wide. A) What is the speed of the electron when it strikes the target? Express your answer with the appropriate units. B) How far does it fall under the influence of gravity during its flight? Express your answer with the appropriate units.

Explanation / Answer

potential=field/distance=3000/0.125=24000 V

so 0.5*m*v^2=e*V

solving for v,

we get

v=91.86*10^6 m

time taken=distance/speed=1.36 ns

acceleration due to gravity=9.8 m/s^2

so distance fallen=9.07*10^(-18) m

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