Triply charged uranium-235 and uranium-238 ions are being separated in a mass spectrometer. (The much rarer uranium-235 is used as reactor f

Question

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 3.90×10−25kg3.90×10−25kg and 3.95×10−25kg,3.95×10−25kg, respectively, and they travel at 3.0×105m/s3.0×105m/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.

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5 months 2021-09-03T06:11:04+00:00 1 Answers 2 views 0 Yes

Explanation: = Mass of uranium 238 ion =  = Mass of uranium 235 ion = v = Velocity of ions = q = Charge of triply charged ions = B = Magnetic field = 0.25 T

The force balance is The difference between the radius of the ions are Separation is given by The separation between their paths when they hit a target after traversing a semicircle is .

Yes, the distance between the paths is 2.5 cm is a practical separation between as it is easily measurable.