A conducting rod of mass m and length ℓ is free to move without friction on two parallel long con...

A conducting rod of mass m and length ℓ is free to move without friction on two parallel long conducting rails, as shown below. There is a resistance R across the rails. In the entire space around, there is a uniform magnetic filed B normal to the plane of the rod and rails. The rod is given an impulsive velocity v_0.
Finally, the initial energy 1/2 m v_0^2
[KVPY 2012]
(a) Will be converted fully into heat energy in the resistor
(b) Will enable rod to continue to move with velocity v_0 since the rails are frictionless
(c) Will be converted fully into magnetic energy due to induced current
(d) Will be converted into the work done against the magnetic field

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