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Question

A person is facing magnetic north. An electron in front of him flies horizontally towards the north and deflects towards east. He is in/at the

A
southern hemispheres.
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B
the equator
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C
northern hemispheres.
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D
none of these
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Solution

The correct option is A southern hemispheres.
Now electron moves towards north and get deflected towards east therfore, vertical component of earth's magnetic field must be positive. Now when we find the direction of the force acting on electron by finding the direction of vector v×Bv
(We will neglect the horizontal component because it will be parallel to the direction of motion of electron hence v×BH=0).
The direction of this vector is towards west when Bv is pointing downwards and our charge is electron therefore, force on it will exert in the direction of east.
Now vertical component is downward in southern hemisphere.

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