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Q.

A metal rod moves at a constant velocity in a direction perpendicular to its length. A constant uniform magnetic field exists in space in a direction perpendicular to the rod as well as its velocity. Select the correct statement(s) from the following

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a

The entire rod is at the same electric potential

b

There is an electric field in the rod

c

The electric potential is highest at the centre of the rod and decreases towards its ends

d

The electric potential is lowest at the centre of the rod and increases towards its ends

answer is B.

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Detailed Solution

A motional emf e=Bvl is induced in the rod, or we can say, a potential difference is induced between the two ends of the rod AB, with P at higher potential and Q at lower potential. Due to this potential difference, there is an electric field in the rod.
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A metal rod moves at a constant velocity in a direction perpendicular to its length. A constant uniform magnetic field exists in space in a direction perpendicular to the rod as well as its velocity. Select the correct statement(s) from the following