00:01
Hello, singly charged uranium 235, sorry, 238 ions are accelerated through the potential difference of 2 .10 kilovols.
00:17
And then through uniform magnetic field, which has a magnitude of 1 .57 tesla.
00:26
First, we have to determine the radius of the circular part.
00:31
Let's do this.
00:33
Initially, the ions are accelerated by the magnetic, by the electric field, and the work done to accelerated equals to the unit charge times delta v, and on the other hand, that is, mv squared over 2.
00:52
That's why speed of the ions equals to square root of 2e delta v.
00:59
Divided by m.
01:00
Then it enters a chamber where magnetic field is perpendicular to speed it means that evb the lawrence force equals to q or sorry that equals to mv squared over r which is a centrifugal force and therefore eb equals to mv over r and consequently r equals to mv over r and consequently are equals to mv divided by eb which is 1 over b right times square root of 2m delta v over e let's call so uran here we have uranium 238 so its mass equals to units which is 3 .95 and 3 times 10 power by negative 25 kilograms.
02:19
Keeping this in mind we can calculate r radius equals to 1 over 1 .57 tesla times square root of 2 times mass and multiply by 2...