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# Hw19_pdf - mcconnell(kam2342 – homework19 – Turner...

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mcconnell (kam2342) – homework19 – Turner – (60230) 2 where E is the kinetic energy of the proton. The magnetic force supplies the centripetal acceleration, so q v B = m v 2 r r = m v q B = m q B radicalbigg 2 E m = 2 m E q B = radicalbig 2 (1 . 07334 × 10 12 J) (1 . 60218 × 10 19 C) (0 . 6 T) × radicalBig (1 . 67262 × 10 27 kg) = 0 . 623334 m . 004 10.0 points A mass spectrometer consists of an acceler- ating potential (to give the ion momentum) and a uniform magnetic field (to momentum analyze the ion). The mass spectrometer using a beam of doubly ionized sodium atoms has the follow- ing settings: the magnetic field is 0 . 0775 T; the charge of an atom is 3 . 20435 × 10 19 C; the radius of the orbit is 0 . 0769 m; and the potential difference is 155 V. Calculate the mass of a sodium atom. Correct answer: 3 . 67143 × 10 26 kg. Explanation: Let : q = 3 . 20435 × 10 19 C , r = 0 . 0769 m , V = 155 V , and B = 0 . 0775 T .
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Hw19_pdf - mcconnell(kam2342 – homework19 – Turner...

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