A mass spectrometer accelerates ions using an electric field. If a singly charge

Question

A mass spectrometer accelerates ions using an electric field. If a singly charged ions is accelareted to a velocity of 1.00 X 10^6 m/s. It enters a magnetic field with strength of 1.5T perpendicular to trajectory of the ion.
(a) if a proton(hydrogen) is accelerated in this mass spectrometer, what is the centripetal acceleration of the proton? (b)What is the force due to the magnetic field on the proton? (c)What is the diameter of the proton's trajectory within the magnetic field? (d) If a carbon-14 ion(singly ionized is accelerated in this mass spectrometer, what is the diameter of the ions trajectory?

Explanation / Answer

for perpendicular trajectory qBv=mv^2/r-----(1) q=electon's charge B=magnetic field v=velocity m=mass of proton (a) solve r first from eqn (1),centripetal acceleration in mv^2/r (b)Force=qBv (c)solve the eqn. 1 to get the diameter (d) multiply 14 to the m, mass of a proton Hope this helps.

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