00:01
In this question we are given the particle has a certain amount of kinetic energy, that is, equals to three times its rest energy.
00:13
What to find what is the broguez wavelength, but we will have to use the relativistic expression because basically the kinetic energy is on the same order of magnitude as our rest energy.
00:30
So it is a relativistic particle.
00:35
So we have to use the relativistic expressions.
00:40
So given in the question we have e square, p square, this is the first equation and we also have kinetic energy equals to total energy minus d rest energy.
01:02
So we can actually combine these two equations together, right? because e is just equals to k plus mc, mc square.
01:12
Substitute this to here.
01:40
This is after squaring it must be equals to p squared c squared plus m square c4.
01:46
Can cancel this out and we can equate p c as just square root of k square plus to k mc square.
02:05
So since the debuglis with length still holds in the relativistic case, right? so p is still equals to h over large.
02:15
Lambda, so our lambda is still equals to h over p.
02:20
We can use that to find our equation right over here.
02:26
So we just divide this by c...