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?

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

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.Physics

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