A mass spectrometer similar to the one in the figure below is designed to separa

Question

A mass spectrometer similar to the one in the figure below is designed to separate protein fragments. The fragments are ionized by removing a single electron and then enter a 0.95 T uniform magnetic field at a speed of 2.8 x 109 m/s. If a fragment has a mass 95 times the mass of the proton, what will be the distance between the points where the ion enters and exits the magnetic field? 1. Alons are ond Ions of &ferent; and accclcrated. Ionsfollow paths of a particelar velocity of diffcrent radii are selected to entern.. the spectrometer 3. Only ions of a particular mass reach tho exit slit and coctinue to the detector

Explanation / Answer

for circular path,

q v B =m v^2 / r

r = m v / q B

only mass is different.

d = delta(2r) = 2 v / q B (delta(m))

d = (2 x 2.8 x 10^5) (95 mp - mp) / (1.6 x 10^-19 x 0.95)

{ mp = 1.67 x 10^-27 kg }

d =0.578 m

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