A mass spectrometer is used to examine the isotopes of uranium. Ions in the beam

Question

A mass spectrometer is used to examine the isotopes of uranium. Ions in the beam emerge from the velocity selector at a speed of 3.02 105 m/s and enter a uniform magnetic field of 0.625 T directed perpendicularly to the velocity of the ions. What is the distance between the impact points formed on the photographic plate by singly charged ions of 235U and 238U?

Explanation / Answer

F = QvB = mv^2/r ==> r = mv/(QB), and the separation s = twice the difference in radii. See the ref. s = 2(m2-m1)v/QB) = 2*1.66E-27*(238-235)*2.56E5 / (1.602E-19*0.293) = 5.4321177E=2 m

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