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?

in cm

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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