Question

An electron is accelerated from rest through a potential difference V. Its final speed is proportional to???

Answer 1

E = V q energy attained by charge q thru potential energy V

E = 1/2 m v^2 kinetic energy of charge q

1/2 m v^2 = V q equating energy attained

v^2 = 2 V q / m

v = (2 V q / m)^1/2

The final speed is proportional to the square roots of V, q, and inverse of square root of m.