Question

The velocity acquired by a charged particle of mass $m$ and charge $Q$ accelerated from rest by a potential of $V$ is

• A. $\frac{QV}{m}$
• B. $\sqrt{\frac{m}{QV}}$
• C. $\sqrt{mQV}$
• D. $mQV$
• E. $\sqrt{\frac{2QV}{m}}$

Answer 1

The correct option is E $\sqrt{\frac{2QV}{m}}$

Energy acquired by a charged particle,
$QV=\frac{1}{2}m{v}^2$
Velocity acquired by a charged particle,
$\Rightarrow v=\sqrt{\frac{2QV}{m}}$.