3 Charge Deflector E beam L An experiment to look for a charge imbalance between the proton and electron is constructed as shown. A beam of particles moving at speed vo = 1.0 x 106 m/s is prepared in an accelerator. Before striking the detector, the beam passes through a region of length L = 10m that contains a uniform electric field of strength & = 100 N/C perpendicular to the beam. (a) Where would a proton from the beam be expected to strike the detector? (L.e., how many meters above or below the beam line would it strike?) (b) Where would an electron from the beam be expected to strike the detector? (L.e., how many meters above or below the beam line would it strike?) (c) We do not believe a hydrogen atom has any charge, but an experiment can only put an upper limit on the net charge-not prove that it is zero. Suppose the detector in this experiment is unable to detect a deflection less than 1 nm. Le., if the deflection is 1 nm or less, the detector will register "0" deflection. If no deflection of hydrogen atoms is detected, what is the upper limit on the net charge of a hydrogen atom? In other words, what is the largest possible charge a hydrogen atom could have, if it is deflected by less than 1 nm? Express your result in coulombs (C) and as a fraction of the proton charge (e). This is the maximum difference between the electron and proton charge that is consistent with the experimental measurement. detector
3 Charge Deflector E beam L An experiment to look for a charge imbalance between the proton and electron is constructed as shown. A beam of particles moving at speed vo = 1.0 x 106 m/s is prepared in an accelerator. Before striking the detector, the beam passes through a region of length L = 10m that contains a uniform electric field of strength & = 100 N/C perpendicular to the beam. (a) Where would a proton from the beam be expected to strike the detector? (L.e., how many meters above or below the beam line would it strike?) (b) Where would an electron from the beam be expected to strike the detector? (L.e., how many meters above or below the beam line would it strike?) (c) We do not believe a hydrogen atom has any charge, but an experiment can only put an upper limit on the net charge-not prove that it is zero. Suppose the detector in this experiment is unable to detect a deflection less than 1 nm. Le., if the deflection is 1 nm or less, the detector will register "0" deflection. If no deflection of hydrogen atoms is detected, what is the upper limit on the net charge of a hydrogen atom? In other words, what is the largest possible charge a hydrogen atom could have, if it is deflected by less than 1 nm? Express your result in coulombs (C) and as a fraction of the proton charge (e). This is the maximum difference between the electron and proton charge that is consistent with the experimental measurement. detector
Glencoe Physics: Principles and Problems, Student Edition
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Author:Paul W. Zitzewitz
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Chapter21: Electric Fields
Section: Chapter Questions
Problem 103A
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Transcribed Image Text:3 Charge Deflector
E
beam
An experiment to look for a charge imbalance between the proton and electron is constructed as shown. A beam of
particles moving at speed vo = 1.0 x 106 m/s is prepared in an accelerator. Before striking the detector, the beam passes
through a region of length L = 10 m that contains a uniform electric field of strength & = 100 N/C perpendicular to the
beam.
(a) Where would a proton from the beam be expected to strike the detector? (L.e., how many meters above or below
the beam line would it strike?)
(b) Where would an electron from the beam be expected to strike the detector? (L.e., how many meters above or below
the beam line would it strike?)
(c) We do not believe a hydrogen atom has any charge, but an experiment can only put an upper limit on the net
charge - not prove that it is zero. Suppose the detector in this experiment is unable to detect a deflection less than
1 nm. I.c., if the deflection is 1 nm or less, the detector will register "0" deflection.
If no deflection of hydrogen atoms is detected, what is the upper limit on the net charge of a hydrogen atom? In
other words, what is the largest possible charge a hydrogen atom could have, if it is deflected by less than 1 nm?
Express your result in coulombs (C) and as a fraction of the proton charge (e).
This is the maximum difference between the electron and proton charge that is consistent with the experimental
measurement.
detector
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