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Capacitance of Parallel Plate Capacitor

The monoenerg...

Question

The monoenergetic beam of electrons moving along + y direction enters a region of uniform electric and magnetic fields. If the beam goes straight undeflected, then fields B and E are directed respectively along

A

-y axis and - z axis

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B

+ z axis and + x axis

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C

+ x axis and + z axis

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D

- x axis and - y axis

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Solution

The correct option is C + x axis and + z axis
The total Lorentz force on the electron is
F = - e (E + v $\times$ B)
For the electron to be undeflected, $E = - v \times B$
When the options are checked, only option (C) satisfies this condition.

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