In a uniform and constant magnetic field of induction B, two long conducting wires ab and cd are kept parallel to each other at distance \[\ell \] with their plane perpendicular to B. The ends a and c are connected together by an ideal inductor of inductance L. A conducting slider wire PQ is imparted a speed \[{{v}_{0}}\] at time t=0. The situation is shown in the figure. At time\[t=\frac{\pi \sqrt{ML}}{4\,B\ell }\], the value of current \[I\] through the wire PQ is (ignore any resistance, electrical as well as mechanical)

• A. \[\sqrt{\frac{mv_{0}^{2}}{L}}\]          
• B. \[\sqrt{\frac{mv_{0}^{2}}{2L}}\]
• C. \[\sqrt{\frac{mv_{0}^{2}}{4L}}\]         
• D. zero