0:00
Hey everyone.
00:01
So in this problem, we're dealing with a cyclotron accelerating duteron particle.
00:08
So a cyclotron has two ds.
00:12
They're called a d -shaped things with a gap between them.
00:15
There's a voltage between in the gap.
00:20
So the particle is doing a centripetal acceleration.
00:24
Each time i pass through the gap is given voltage boost, which expands the radius.
00:33
So each loop keeps expanding further and further out until it reaches maximum radius, and exits at maximum speed, maximum kinetic energy.
00:49
So the frequency of this voltage is a fixed thing.
00:56
So the frequency is the same throughout the entire cyclotron.
01:00
It doesn't depend on radius.
01:03
So that's the key thing that we're going to be using here.
01:08
So the first thing wants us to find the strength of the magnetic field b.
01:15
So we know mass of the duteron.
01:18
It has to be ionized that the cyclotron, it can't accelerate the neutral particle.
01:26
So is charge plus one, electric charge, basically.
01:32
So q is 1 .6 times the negative 19 columns.
01:37
We're given the frequency, so we don't have to find that.
01:45
So you can derive this equation, but we don't have to here.
02:00
So i'm just having m equal m.
02:07
Duteron.
02:08
I just don't want to write the subscript.
02:10
It's not necessary.
02:13
So it follows from that, we can rearrange that to find b as 2 pi fm divided by q.
02:31
So that's 2 pi times 8 .3 times 10 to the 6 hertz, which is just inverse seconds.
02:47
Mass is 3 .34 times 10 to negative 27 kilograms.
02:51
Divided by 1 .60 times 10 to the negative 19 columns...