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In the mass spectrograph above, the goo in the source chamber contains molecules of mass $M$ that are ionized to have charges of $+e$, $+2e$ or $+3e$ at the source. The particles then fall through a potential of $V$ and enter the uniform $B$ field in the box.

a) Derive an expression for the radius $r$ at which a fragment of charge-to-mass ratio of $m/q$ hits.

b) Use this expression to find $r$ for each of the three possible ionization charges, and draw a picture of the bars produced on the film to a reasonable scale.


Robert G. Brown 2003-02-09