An electron and a proton starting from rest get accelerated through potential difference of lOOkV. The final speeds of the electron and the proton are Ve and Vp respectively. Which of the following relations is correct?

When a charged particle is accelerated from rest through a potential difference (V), the work done on the particle is converted into kinetic energy (K), expressed as K = qV. Both the electron and the proton carry the same magnitude of elementary charge (e), meaning they gain the same amount of kinetic energy (100 keV) when accelerated through 100 kV. Kinetic energy is also defined by the formula K = 1/2 mv², where m is the mass and v is the speed. Since the mass of an electron is significantly smaller than the mass of a proton (approximately 1/1836 times), the electron must achieve a much higher velocity to maintain the same kinetic energy. Therefore, the final speed of the electron (Ve) is greater than the final speed of the proton (Vp).