A sample of two different iron ions, Fe^2+ and Fe^3+, are accelerated by the same potential and sent through the uniform magnetic field of a mass spectrometer. a)Which ions moves faster after being accelerated. Justify with relevant equations. b)Which ion follows the path with the largest radius. Justify your answer.
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E =QV = (1/2)mv^2 => v = sqrt(2QV/m) => Fe^3+
F = QvxB, the ratio of the radii ( Fe^3+ / Fe^2+) is sqrt(2/3) < 1 => => Fe^2+ has the largeR (not largest!) radius.
F = QvxB, the ratio of the radii ( Fe^3+ / Fe^2+) is sqrt(2/3) < 1 => => Fe^2+ has the largeR (not largest!) radius.