Question

An electron at rest is accelerated in a uniform electric field of strength E. It covers a distance x. The kinetic energy gained by the electron will be :

• A. $Eex$
• B. $\frac{Ex}{e}$
• C. $\frac{Ee}{x}$
• D. $\frac{ex}{E}$

Answer 1

Answer: (A)

$Eex$

The kinetic energy acquired by an electron is equal to work done by electric field
i.e. K.E. of electron = $F_{e}dcos\theta$
Substitute the values of $F_e=eE$, d = x, $\theta =0$.
$K.E.=\left(eE\right)\left(x\right)\left(cos0\right)=eEx$