Question

Can anyone please explain me how the 2nd form of velocity is coming....that square root one..​

Answer 1

Answer:

qV= Energy

Energy = 1/2 mv^2

qV *2 / m = v^2

V = potential difference

q = charge

v = velocity

m = mass

This is how it comes .

I hope it helps .

Answer 2

Answer:

It is derived from the fact that the kinetic energy of a mass (here an electron) is given by $\frac{1}{2}mv^2$, we also know that the potential energy of an electron in a electric field is given by $qV$. The change in the potential energy when the electron moves through the field is turned into kinetic energy, hence we get the following equation:

$\frac{1}{2} mv^2 = q\Delta V$

doing some basic algebra then results in the desired equation.