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Question

A magnetic field is produced by bar magnet as shown in figure and a beam of electron is passing through magnetic field. How will the magnetic field affect the electron beam?

481932_5ebc16f0347347d3ab290924d7ba8da4.png


A
The beam will rotate around the two magnets.
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B
The beam will bend up away from the table.
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C
The beam will bend down into the table
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D
The beam will be attracted to the north pole of a magnet.
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E
The beam will be attracted to the south pole of a magnet.
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Solution

The correct option is B The beam will bend up away from the table.
Given :  $$\vec{B} = B \hat{y}$$
Velocity of electron beam     $$\vec{v} =- v \hat{x}$$
Magnetic force on electron        $$\vec{F} = -q(\vec{v} \times \vec{B}) = q (\vec{B} \times \vec{v}) $$
$$\therefore$$   $$\vec{F} = q [B\hat{y} \times (-v \hat{x})]  = qvB $$  $$\hat{z}$$
Thus the electron beam will bend up away from the table.

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Physics

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