In the mass spectrometer shown above, particles having a net charge +Q are acceleratéd from rest through a potential difference in Region I. They then move in a straight line through Region II, which contains a magnetic field B and an electric field E. Finally, the particles enter Region III, which contains only a magnetic field B, and move in a semicircular path of radius R before striking the detector. The magnetic fields in Regions II and III are uniform, have the same magnitude B, and are directed out of the page as shown. In the figure above, indicate the direction of the electric field necessary for the particles to move in a straight line through Region II. a. In terms of any or all the quantities Q, B, E, and R, determine expressions for b. the speed v of the charged particles as they enter Region III; the mass m of the charged particles; C.

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Subpart A-C

B
Region III
Region II
Region I
Detector--
In the mass spectrometer shown above, particles having a net charge +Q are acceleratéd from rest through
a potential difference in Region I. They then move in a straight line through Region II, which contains a
magnetic field B and an electric field E. Finally, the particles enter Region III, which contains only a
magnetic field B, and move in a semicircular path of radius R before striking the detector. The magnetic
fields in Regions II and III are uniform, have the same magnitude B, and are directed out of the page as
shown.
In the figure above, indicate the direction of the electric field necessary for the particles to move in a
straight line through Region II.
a.
In terms of any or all the quantities Q, B, E, and R, determine expressions for
b. the speed v of the charged particles as they enter Region III;
the mass m of the charged particles;
the accelerating potential V in Region I;
the acceleration a of the particles in Region II;
the time required for the particles to move along the semicircular path in Region III
с.
d.
e.
f.
Transcribed Image Text:B Region III Region II Region I Detector-- In the mass spectrometer shown above, particles having a net charge +Q are acceleratéd from rest through a potential difference in Region I. They then move in a straight line through Region II, which contains a magnetic field B and an electric field E. Finally, the particles enter Region III, which contains only a magnetic field B, and move in a semicircular path of radius R before striking the detector. The magnetic fields in Regions II and III are uniform, have the same magnitude B, and are directed out of the page as shown. In the figure above, indicate the direction of the electric field necessary for the particles to move in a straight line through Region II. a. In terms of any or all the quantities Q, B, E, and R, determine expressions for b. the speed v of the charged particles as they enter Region III; the mass m of the charged particles; the accelerating potential V in Region I; the acceleration a of the particles in Region II; the time required for the particles to move along the semicircular path in Region III с. d. e. f.
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