Collision

What happen when two electron collide with each other with the velocity of light?

Electrons will not travel with the velocity of light. Only light travels at that speed but it not required dat electrons travelling with velocity =c. Relative velocity is equal to c when both the electrons are travelling in opposite direction with velocity =c/2.

Electron is a particle.

1. Electron is a particle.

The two electrons approaching each other will naturally form a isolated system.

Thus. K.E + P.E = constant

Let us assume that the electron moves at c/2 speed

Therefore K.E = 1/2 m v^2

= 1\2 * 9.1*10^-31 * (1.5*10^8)^2

= 10.2375*10^-15 J .. (I)

Now, suppose they crash, then according to our supposition, v=0 ( at that point) and K.E = - P.E. thus we get.

10.2375*10^-15 J = P.E

here P.E , electric potential energy = k * (q1 * q2) / d ..(II)

k=coulombs constant

q1,q2= charge on the particles

d=distance between them

Equating I and II we can solve to find the 'd' the distance between them

10.2375*10^15 = - 9*10^9 * (1.9*10^-19 * 1.9*10^-19) / d

Therefore d = - 3.176 * 10^-15 meters (minus sign is irrelevant as we are calculating the distance)

This is very small indeed . But unfortunately it’s not small enough

the size of an electron is 2.81794*10^-15 . little less than the 'd' we got (distance of closest approach)

Conclusion: they wont strike each other but will just come very close to each other and will go back the way they came!

2. If the strike obliquely then still they won’t hit each other. They will just deviate

3. Electron is a wave.

This is simple. The two electrons might just cause an interference pattern depending upon the phase they are in.