Question #311332

the electron beam in a television tube consist of electron accelerated from rest through a potential difference of about 20000 v. what is the speed of the electrons?( ignore relativistic effects.) electron rest mass is 9.11x 10^31kg and electronic charge is 1.6x10^19c


1
Expert's answer
2022-03-14T13:06:11-0400

E=mv22,E=\frac{mv^2}2,

φ=Ee,\varphi=\frac Ee,

φ=mv22e,\varphi=\frac{mv^2}{2e},

v=2eφm,v=\sqrt{\frac{2e\varphi}{m}},

v=84106 ms.v=84\cdot 10^6~\frac ms.


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