In the query, it is stated that
The intensity of the uniform electric field equals The distance the electron covers is
Typically, the force exerted on this electron is expressed mathematically as
Where F signifies the force and q represents the charge of the electron, which is a fixed value of
Thus
Generally, the work-energy theorem is mathematically framed as
Where W denotes the work done on the electron by the electric field and is the change in kinetic energy
Additionally, work done on the electron can also be described as
Where assuming that the electron's movement aligns with the x-axis
So
Inserting values
According to the conservation of energy
Where signifies the change in potential energy
Thus