Two smooth horizontal parallel conducting rails are connected with a capacitor and a resistor at the two ends as shown. A uniform conducting rod PQ of mass 'm' and length 'l' is dragged with a constant horizontal force 'F'. The terminal velocity aquired by the conducting rod is

Options

A. `(4FR)/(B^(2)l^(2))`
B. `(2FR)/(B^(2)l^(2))`
C. `(FR)/(B^(2)l^(2))`
D. `(FR)/(2B^(2)l^(2))`

Answer

C

Explanation

When the trminal velocity is acquired
`i = (Bvl)/(R )`
`F= Bil`
`F = (B^(2)l^(2)v)/(R )`
`:. V = (FR)/(B^(2)l^(2))`