Question

A particle of mas $m$ carrying charge $q$ is released from restm in a uniform electric field of intensity $E$. The kinetic energy acquired by the particle after moving a distance of $x$ is (neglect gravitational force):

• A. $qEx$
• B. $qE{x}^2$
• C. $q{E}^{2}x$
• D. $q^{2}Ex$

Answer 1

The correct option is A $qEx$

Mass $=m$

charge $=q$

Uniform electric field of intensity $=F$

The kinetic energy acquired by the particle after work done $=F.d$

where $F=qE$ and $q=x$

Then, in conclusion,

kinetic energy $=qE\times x$.