00:01
Yeah, radiation shielding works by having the radiation that you would like to stop, get absorbed by some sort of material.
00:12
The relationship that works for radiation shielding is the rate of change of the intensity in the radiation drops with distance going into the material.
00:28
So, dx is the distance into the material.
00:32
The mu is the absorption coefficient.
00:40
So it will have units of one over meters.
00:48
And the negative sign means that the incident radiation going into the material, okay, so we'll have i -0 coming in, will drop as you get further into the material.
01:06
And that is because of the interactions.
01:08
The absorption of the energy and the radiation by the particles in the material.
01:15
Now, we can integrate this relationship and get rid of our differentials.
01:21
So what we will do is integrate on the left -hand side from the initial intensity to some final intensity inside the material.
01:35
Yeah, we could just call that position xf if we would like.
01:41
But some arbitrary depth into the material.
01:47
So, yeah, we can say xf is depth into the material, into the shielding material.
02:04
And it will depend what that material is.
02:06
So hopefully people know that property.
02:10
And then we integrate on the other side from 0 to xf.
02:17
And that, of course, gives us a logarithm, one over anything integrated against its variable gives us a logarithm.
02:33
And then we have the two limits of the intensity, logarithm of ifinal over i0 is equal to minus mu x final...