Consider the mass spectrometer shown schematically in Figure P19.30...?
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Consider the mass spectrometer shown schematically in Figure P19.30. The electric field between the plates of the velocity selector is 1000 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.910 T. Calculate the radius of the path in the system for a singly charged ion with mass m = 2.18 multiplied by 10-26 kg. (Hint: The figure is of a mass spectrometer. Charged particles are first sent through a velocity selector. They then enter a region where a magnetic field vector B 0 (directed inward) causes positive ions to move in a semicircular path and strike a photographic film at P) m http://www.webassign.net/sercp/p19-30.gif
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Answer:
Velocity of particles from the velocity selector .. v = E/B .. .. 1000V/m / 0.91T .. .. v = 1099.0 m/s In the chamber, the magnetic force (F = Bqv) provides a centripetal force (mv² /r) Bqv = mv²/r r = mv / Bq .. .. (q = 1.60^-19C for a singly charged ion) r = (2.18^-26kg x 1099m/s) / (0.91T x 1.60^-19C) .. .. .. ►r = 1.65^-4 m
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