A resistance coil, connected to an external battery is placed inside an adiabatic cylinder filled with frictionless piston of mass `m` and containing an ideal gas. A current `i` flows through the coil, which has resistance `R`. The speed with which the piston must move in order to keep the temperature of the gas constant will be

Options

A. `i^(2)R//mg`
B. `iR//mg`
C. `0`
D. Data is insufficient.

Explanation

Applying `COE`
`i^(2)Rt=mgx`
`rArr (dx)/(dt)=(i^(2)R)/(mg)`