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Q1. In 1897 J.J Thomson "discovered" the electron by measuring the charge-to-mass ratio of "cathode rays" (actually, streams of electrons, with charge q and mass m) as follows: (a) First he passed the beam through uniform crossed electric and magnetic fields E and B (mutually perpendicular, and both of them perpendicular to the beam), and adjusted the electric field until he got zero deflection. Derive the speed of the particles (in terms of E and B)

Q1. In 1897 J.J Thomson "discovered" the electron by measuring the charge-to-mass ratio of "cathode rays" (actually, streams of electrons, with charge q and mass m) as follows: (a) First he passed the beam through uniform crossed electric and magnetic fields E and B (mutually perpendicular, and both of them perpendicular to the beam), and adjusted the electric field until he got zero deflection. Derive the speed of the particles (in terms of E and B)

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In 1897 J.J Thomson ”discovered” the electron by measuring the charge-to-mass ratio
of ”cathode rays” (actually, streams of electrons, with charge q and mass m) as follows :
(a) First he passed the beam through uniform crossed electric and magnetic fields E and
B (mutually perpendicular, and both of them perpendicular to the beam), and adjusted the
electric field until he got zero deflection. Derive the speed of the particles (in terms of E
and B).

(b) Then he turned off the electric field, and measured the radius of curvature, R, of the
beam as deflected by the magnetic field alone. In terms of E, B, and R, what is the charge
to mass ratio (q/m) of the particles ?

(See pictures for original)

(b) Then he turned off the electric field, and measured the radius of curvature, R, of the beam as deflected by the magnetic field alone. In terms of E, B, and R, what is the charge to mass ratio (q/m) of the particles ?
Transcribed Image Text:(b) Then he turned off the electric field, and measured the radius of curvature, R, of the beam as deflected by the magnetic field alone. In terms of E, B, and R, what is the charge to mass ratio (q/m) of the particles ?
Q1. In 1897 J.J Thomson "discovered" the electron by measuring the charge-to-mass ratio of "cathode rays" (actually, streams of electrons, with charge q and mass m) as follows: (a) First he passed the beam through uniform crossed electric and magnetic fields E and B (mutually perpendicular, and both of them perpendicular to the beam), and adjusted the electric field until he got zero deflection. Derive the speed of the particles (in terms of E and B).
Transcribed Image Text:Q1. In 1897 J.J Thomson "discovered" the electron by measuring the charge-to-mass ratio of "cathode rays" (actually, streams of electrons, with charge q and mass m) as follows: (a) First he passed the beam through uniform crossed electric and magnetic fields E and B (mutually perpendicular, and both of them perpendicular to the beam), and adjusted the electric field until he got zero deflection. Derive the speed of the particles (in terms of E and B).
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