`0.5` mole of an ideal gas at constant temperature `27^(@)C` kept inside a cylinder of length `L` and cross-section area A closed by a massless piston The cylinder is attached with a conducting rod of length `L` cross-section area `(1//9)m^(2)` and thermal conductivity k whose other end is maintained at `0^(@)C` If piston is moved such that rate of heat flow through the conducing rod is constant then find velocity of piston when it is at height `L//2` from the bottom of cylinder [Neglect any kind of heat loss from system
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Options

A. `((k)/(R )) m//sec`
B. `((k)/( 10R )) m//sec`
C. `((k)/(100R)) m//sec`
D. `((k)/( 1000R)) m//sec`

Answer

C