(a) triply charged uranium-235 and uranium-238 ions are being separated in a mass spectrometer. (the much rarer uranium-235 is used as reactor fuel.) the masses of the ions are 3.90x10—25 kg and 3.95x10—25 kg , respectively, and they travel at 3.00x105 m/s in a 0.250-t field. what is the separation between their paths when they hit a target after traversing a semicircle? (b) discuss whether this distance between their paths seems to be big enough to be practical in the separation of uranium-235 from uranium-238.

(a) 2.5 cm

(b) Yes

Solution:

As per the question:

Mass of Uranium-235 ion, m =

Mass of Uranium- 238, m' =

Velocity, v =

Magnetic field, B = 0.250 T

q = 3e

Now,

To calculate the path separation while traversing a semi-circle:

The radius of the ion in a magnetic field is given by:

R =

Now,

By putting suitable values in the above eqn:

(b) Since the order of the distance is in cm, thus clearly this distance is sufficiently large enough in practical for the separation of the two uranium isotopes.

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