Answer:
[tex]W = 462.5 keV[/tex]
Explanation:
As we know that when electron moved in electric field then work done by electric field must be equal to the change in kinetic energy of the electron
So here we have to find the work done by electric field on moving electron
So we have
[tex]F = qE[/tex]
[tex]F = (1.6 \times 10^{-19})(1.85 \times 10^6)[/tex]
[tex]F = 2.96 \times 10^{-13} N[/tex]
now the distance moved by the electron is given as
[tex]d = 0.25 m[/tex]
so we have
[tex]W = F.d[/tex]
[tex]W = (1.6 \times 10^{-19})(1.85 \times 10^6)(0.25)[/tex]
[tex]W = 7.4 \times 10^{-14} J[/tex]
now we have to convert it into keV units
so we have
[tex]1 keV = 1.6 \times 10^{-16} J[/tex]
[tex]W = 462.5 keV[/tex]