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 ✕ 10−25 kg and 3.95 ✕ 10−25 kg, respectively, and they travel at 9.00 ✕ 105 m/s in a 0.323 T field. What is the separation (in m) between their paths when they hit a target after traversing a semicircle?

In the circular motion of the ions, the centripetal force should be equal to the magnetic force. Magnetic force = Centripetal force Bqvsin90 = mv2/r r = mv/Bq .......... (1) Calculate the radius of path for U238 by using equation (1). r1 = mv/Bq = [(3.95*10-25 )(9*105 )]/[0.323*3*1.6*10-19) = 2.292956 m Calculate the radius of path for U235 by using equation (1). r2 = mv/Bq = [(3.9*10-25 )(9*105 )]/[0.323*3*1.6*10-19) = 2.26393 m Calculate the distance. d1 = 2r1 -2r2 = 2*2.292956 - 2*2.26393 = 0.058 m

Answered: Triply charged uranium-235 and…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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 ✕ 10⁻²⁵ kg and 3.95 ✕ 10⁻²⁵ kg, respectively, and they travel at 9.00 ✕ 10⁵ m/s in a 0.323 T field. What is the separation (in m) between their paths when they hit a target after traversing a semicircle?

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