An electron accelerated by a potential difference of 100V experiences kinetic energy defined by the equation eV = 1/2mv², where e is the elementary charge and v is the applied potential. When the voltage is quadrupled, the kinetic energy increases fourfold, but the final speed of the electron only doubles. This is derived from the relationship v = sqrt(2A/m), leading to the conclusion that increasing the potential difference results in a speed increase of a factor of 2, not 16 as initially suggested.
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