Rankers Physics
Topic: Electrostatics
Subtopic: Electric Potential Energy

If an electron is accelerated from rest through a potential difference V, then its final speed is proportional to :
V
√V
1/V

Solution:

The kinetic energy gained by the electron is equal to the work done by the electric field:

\[
eV = \frac{1}{2} m v^2
\]

Rearranging for \(v\):

\[
v = \sqrt{\frac{2eV}{m}}
\]

This shows that \(v \propto \sqrt{V}\).

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