A wire is bent in the form of a `V` shape and placed in a horizontal plane.There exists a uniform magnetic field `B` perpendicular to the plane of the wire. A uniform conducting rod starts sliding over the `V` shaped wire with a constant speed v as shown in the figure. If the wire no resistance, the current in rod wil

Options

A. increase with time
B. decrease with time
C. remain constant
D. always be zero

Answer

C

Explanation

`i=(Bvl)/R`

Let `lambda`=resistance per unit legnth of conducting rod, then
`i=(Bvl)/(lamdal)=(Bv)/lambda`=constant