(a) Triply charged uranium-235 and uranium-238 ions are being separated in a mas

ID: 1537433 • Letter: #

Question

(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 3.90×1025 kg and 3.95×1025 kg , respectively,

and they travel at 3.00×105 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) r1 = Mv/qB = (3.90x10^-25x3.0x10^5)/(3x1.6x10^-19x0.250) = 0.975m

similarly, r2 = (3.95x10^-25x3.0x10^5)/(3x1.6x10^-19x0.250) = = 0.9875m

so, seperation d = 1.975 - 1.95 = 0.025 m

b) yes

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