Question

singly charged uranium-238 ions are accelerated through a potential difference of 2.00KV and wnter a uniform magnetic field of magnitude 1.20 T directed perpendicular to their velocities. Significance of this problem:

99% of all uranium that comes out of the ground (uranium mine) is U238. But it is U235 that is used for nuclear power plants (3~6% U235) and nuclear weapons (~90% U235). So the concentration of U235 must be increased (enriched). The concentration of U235 is what must be tested by inspectors when they go to a suspected location (in North Korea, or Iran, or …).

a) For U238 which has mass m = 238 amu (atomic mass units), what is the mass? = 3.9508 x 10^-25

b) What is the work done to accelerate the U238 ion? =3.2 x 10^-16

c) What is the speed of the U238 ion? = 4.02 x 10^4

d) Find the radius and diameter of the path of the ion. =.0827m

e) Find the mass for a U^235 atom.

f) What is the speed of the U^235 ion? The work is the same as b).

g) Find the radius and diameter of the path of the ion.

h) What is the distance between where the different ions hit?

Need parts e-h

Answer 1

Distance between where the ions hit is 8 * 10 ^ -4 m