J.J. Thomson used cross electric and magnetic fields in his discovery of the electron in 1897. He showed that the charges in the a cathode ray tube consisted of particles with a very low mass to charge ratio by measuring their deflection in an electric field. 2. A mass spectrometer is used to determine the mass of the ions in a sample. Once the mass of the ions are known one detector can determine what molecular composition of the sample. The Behrend chemistry department has several mass spectrometers. A new singly charged ion (the sign of the charge is unknown but we know it is either +e or -e) enters a velocity selector as shown with crossed electric and magnetic fields of magnitude E and B. Only ions with the selected speed then leave through the right hole and enter a region with the same magnetic field B but no electric field. The magnetic force then causes the charges to move in a semi-circular path of radius r as shown. By measuring r one can determine the mass of the ions. Is the ion positive or negative? a. negative b. Determine the mass of the ion in terms of e, B, E and/or r. Show work. Note: your answer should not contain the speed v. EF = ma Ig| v B 12 = m lg| B r => m = Iq| E = m g

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J.J. Thomson used cross electric and magnetic fields in his discovery of the electron in 1897. He showed that the
charges in the a cathode ray tube consisted of particles with a very low mass to charge ratio by measuring their
deflection in an electric field.
2. A mass spectrometer is used to determine the mass of the
ions in a sample. Once the mass of the ions are known one
can determine what molecular composition of the sample.
The Behrend chemistry department has several mass
detector
spectrometers.
A new singly charged ion (the sign of the charge is unknown
but we know it is either +e or -e) enters a velocity selector
as shown with crossed electric and magnetic fields of
magnitude E and B. Only ions with the selected speed then
leave through the right hole and enter a region with the
same magnetic field B but no electric field. The magnetic
force then causes the charges to move in a semi-circular
path of radiusr as shown. By measuring r one can
E
B
В
determine the mass of the ions.
Is the ion positive or negative?
а.
negative
b. Determine the mass of the ion in terms of e, B, E and/or r . Show work. ote: your answer should not
contain the speed v.
ΣF
= ma
Iql v B
m
lg| B r
=> m
Iq| E
m g
Transcribed Image Text:J.J. Thomson used cross electric and magnetic fields in his discovery of the electron in 1897. He showed that the charges in the a cathode ray tube consisted of particles with a very low mass to charge ratio by measuring their deflection in an electric field. 2. A mass spectrometer is used to determine the mass of the ions in a sample. Once the mass of the ions are known one can determine what molecular composition of the sample. The Behrend chemistry department has several mass detector spectrometers. A new singly charged ion (the sign of the charge is unknown but we know it is either +e or -e) enters a velocity selector as shown with crossed electric and magnetic fields of magnitude E and B. Only ions with the selected speed then leave through the right hole and enter a region with the same magnetic field B but no electric field. The magnetic force then causes the charges to move in a semi-circular path of radiusr as shown. By measuring r one can E B В determine the mass of the ions. Is the ion positive or negative? а. negative b. Determine the mass of the ion in terms of e, B, E and/or r . Show work. ote: your answer should not contain the speed v. ΣF = ma Iql v B m lg| B r => m Iq| E m g
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