A wire of length 1 m is moving at a speed of 2ms?1 perpendicular to its length and a homogeneous magnetic field of 0.5 T. The ends of the wire are joined to a circuit of resistance 6 W. The rate at which work is being done to keep the wire moving at constant speed is [Roorkee 1999]

• A.            \[\frac{1}{12}W\]               
• B.            \[\frac{1}{6}W\]
• C.            \[\frac{1}{3}W\]                 
• D.            1W