The potential difference is related to the kinetic energy of the electron by the formula,
1/2mv^2 = eV
where
m is the mass of the electron
e is the charge of the electron
V is the potential dfference
From the information given,
V = 382.11 x 10^3
m = 9.1 x 10^-31
e = 1.6 x 10^- 19
Thus, we have
1/2 x 9.1 x 10^-31 x v^2 = 1.6 x 10^- 19 x 382.11 x 10^3
45.5 x 10^- 32v^2 = 611.376 x 10^- 16
v^2 = 611.376 x 10^- 16/45.5 x 10^- 32
Taking square root of both sides,
v = 3.67 x 10^8 m/s
The velocity is 3.67 x 10^8 m/s
