In Thomson's experimental setup (Figure given below), the length of the deflecting plate is 3.0 cm and the distance of the screen to the deflecting plate is 1.0m (x axis). With the applied electrical field of 2.1 x10* V/m, image of the electron beam is observed at the height of 36 cm (y axis). With the applied magnetic field of 1.2 x 10³T, the image is seen at the center of the screen with no deflection. c) If the length of the deflecting plate would be 2.5 cm, where would the beam is observed? d) Assuming mass of the electron is known and the value is m,=9.1x1031 kg, find the rest Energy, total energy and the kinetic energy of the electron. e) Find the relativistic momentum of the electron. Hint: Use equations in Thomson's experiment for a, b and c. Use relativistic kinematic equations for d and e by using the velocity you obtained in a.

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In Thomson's experimental setup (Figure given below), the length of the deflecting
plate is 3.0 cm and the distance of the screen to the deflecting plate is 1.0m (x axis). With
the applied electrical field of 2.1 x10° V/m, image of the electron beam is observed at the
height of 36 cm (y axis). With the applied magnetic field of 1.2 x 10³T, the image is seen at
the center of the screen with no deflection.
c) If the length of the deflecting plate would be 2.5 cm, where would the beam is observed?
d) Assuming mass of the electron is known and the value is m,=9.1x1031 kg, find the rest
Energy, total energy and the kinetic energy of the electron.
e) Find the relativistic momentum of the electron.
Hint: Use equations in Thomson's experiment for a, b and c. Use relativistic kinematic
equations for d and e by using the velocity you obtained in a.
Deflecting plates-
Cathode
AB
Anode
Fluorescent screen-
High voltage
Magnet
Transcribed Image Text:In Thomson's experimental setup (Figure given below), the length of the deflecting plate is 3.0 cm and the distance of the screen to the deflecting plate is 1.0m (x axis). With the applied electrical field of 2.1 x10° V/m, image of the electron beam is observed at the height of 36 cm (y axis). With the applied magnetic field of 1.2 x 10³T, the image is seen at the center of the screen with no deflection. c) If the length of the deflecting plate would be 2.5 cm, where would the beam is observed? d) Assuming mass of the electron is known and the value is m,=9.1x1031 kg, find the rest Energy, total energy and the kinetic energy of the electron. e) Find the relativistic momentum of the electron. Hint: Use equations in Thomson's experiment for a, b and c. Use relativistic kinematic equations for d and e by using the velocity you obtained in a. Deflecting plates- Cathode AB Anode Fluorescent screen- High voltage Magnet
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