A conducting wire of length `l` and mass `m` can slide without friction on two parallel rails and is connected to capacitance `C`. Whole system lies in a magnetic field `B` and a constant force `F` is applied to the rod. Then

Options

A. the rod moves with constant velocity
B. the rod moves with an acceleration of `(F)/(m+B^(2)l^(2)c)`
C. there is constant charge on the capacitor.
D. charge on the capacitor increases with time

Explanation

`i=(dq)/(dt)=(d)/(dt)(CvBl)=CBl(dv)/(dt)=Cbla`
`:. F-CB^(2)l^(2)a=ma`
`rArr a=(F)/(M+B^(2)l^(2)C)`
`rArr`emf increases
`rArr ` charge increase.