1.The charge to mass ratio for a singly ionized benzene molecule is e/(78u)=1235

Question

1.The charge to mass ratio for a singly ionized benzene molecule is e/(78u)=1235712.07908557C/kg. If a mass spectrometer operates with a magnetic field of B=0.013T and a fixed distance of d=0.45m between the beam entrance and the detector, what potential difference should be used to accelerate a singly ionized benzene molecule so that it hits the detector?Also What speed is the molecule going when it enters the magnetic field? in (m/s)

2.The deflection of the electron beam in an old-fashioned tube TV set is accomplished by magnetic forces. Each electron is accelerated through a potential difference ofV=20000V. What magnetic field is required to produce a deflection of y1=0.04m if the magnetic field region is x1=0.09m long? The charge to mass ratio of the electron is 175824175824.176C/kg. If there is a x2=0.18m gap between the end of the magnetic field region and the end of the tube, how far from the center of the screen does the beam strike?
ynet = y1 + y2 =

Explanation / Answer

Start with the formula r = mv/qB to find v

(.225) = v/(1235712.07908557)(.013)

v = 3614 m/s

Then PE = KE

qV = .5mv2

V = .5mv2/q

V = (.5)(3614)2/(1235712.07908557)

V = 5.29 V

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