1.

A homogeneous magnetic field B is perpendicular to a sufficiently long trach of width l which is horizontal A frictionless conducting resistanceless rod of mass m stradless the two rails of the track as shown in the figure. Entire arrangement lies in horizontal plane. For the situation suggested in column-II match the appropriate entries in column-I the rails are also resistancesless.

Answer» Correct Answer - [(A)PQ;(B)PQ;(C)R;(D)PST]
(A) `(V-Blv)/R=i`
`F=(V-Blv)/R xx Bl`
(B) `ilB =ma Rightarrow (lBdQ)/dt=(mdv)/(dt) Rightarrow (BlQ)/m`
`U_(i) gt U_(f)` because energy is dissipated in em radiator
(C) No energy dissipated as no resistance R rightarrow Red executes SHM
`F=ilB to left Rightarrow f_(ext) to right`
`F=ilB (Ldi)/(dt)=Blv Rightarrow` not possible to move with constant v


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