Q.

A uniform conducting wire ABC has a mass of 10 g. A current of 2 A flows through it. The wire is kept in a uniform magnetic field B = 2 T. The acceleration of the wire will be
 

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a

Zero

b

12 ms-2 along positive y axis

c

1.2×10-3 ms-2 along positive y axis

d

0.6×10-3ms-2 along negative y axis

answer is B.

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Detailed Solution

The given curved wire can be treated as a straight wire as shown
 

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Force acting on the wire AC,  

F=Bil=2×2×3×10-2

12×10-2 N

  along positive y-axis.
So acceleration of wire 

=Fm=12×10-210×10-3=12 m/s2

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A uniform conducting wire ABC has a mass of 10 g. A current of 2 A flows through it. The wire is kept in a uniform magnetic field B = 2 T. The acceleration of the wire will be