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A beam of electrons whose kinetic energy is K emerges from

Chapter , Problem 72

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QUESTION:

A beam of electrons whose kinetic energy is K emerges from a thin-foil window at the end of an accelerator tube.A metal plate at distance d from this window is perpendicular to the direction of the emerging beam (Fig. 28-53). (a) Show that we can prevent the beam from hitting the plate if we apply a uniform magnetic field such that in which m and e are the electron mass and charge. (b) How should be oriented?

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QUESTION:

A beam of electrons whose kinetic energy is K emerges from a thin-foil window at the end of an accelerator tube.A metal plate at distance d from this window is perpendicular to the direction of the emerging beam (Fig. 28-53). (a) Show that we can prevent the beam from hitting the plate if we apply a uniform magnetic field such that in which m and e are the electron mass and charge. (b) How should be oriented?

ANSWER:

Problem 72

A beam of electrons whose kinetic energy is K emerges from a thin-foil window at the end of the accelerated tube. A metal plate at distance d from this window is perpendicular to the direction of the emerging beam (see figure).  (a) Show that we can prevent the beam from hitting the plate if we apply a uniform magnetic field such that  in which m and e are the electron mass and charge. (b) How should be oriented

                                                          Step by Step Solution

Step 1 of 3

Part (a)

The diagram for the path of electron is shown as,

The kinetic energy of the electron is given as,

Therefore, the velocity of electron is calculated as,

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