A particle passes through a mass spectrometer as illustrated in the figure below

Question

A particle passes through a mass spectrometer as illustrated in the figure below. The electric field between the plates of the velocity selector has a magnitude of 7847 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.0908 T. In the deflection chamber the particle strikes a photographic plate 39.8 cm removed from its exit point after traveling in a semicircle

A particle passes through a mass spectrometer as illustrated in the figure below. The electric field between the plates of the velocity selector has a magnitude of 7847 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.0908 T. In the deflection chamber the particle strikes a photographic plate 39.8 cm removed from its exit point after traveling in a semicircle

Explanation / Answer

FB = FE

q*v*B = q*E

==> v = E/B = 7847/0.0908 = 8.64*10^4 m/s

r = d/2 = 39.8/2 = 19.9 cm = 0.199 m

r = m*v/(B*q)

T = 2*pi*m/B*q

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