Consider the mass spectrometer shown schematically in the figure below. The elec

Question

Consider the mass spectrometer shown schematically in the figure below. The electric field between the plates of the velocity selector is 6600 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.0220 T. Calculate the radius r of the path for a singly charged ion with mass

Consider the mass spectrometer shown schematically in the figure below. The electric field between the plates of the velocity selector is 6600 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.0220 T. Calculate the radius r of the path for a singly charged ion with mass m = 4.85 times 10-26 kg.

Explanation / Answer

q E = q v B ===> v = E/B = 6600/0.0220 = 300000 m/s

q v B = m v^2/R ==> R = mv/qB = 4.85e-26*300000/(1.6e-19*0.0220) = 4.13 m

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