What will the wines resistance be r is stretched to twice it

What will the wine\'s resistance be r is stretched to twice its original length without changing the volume of the wine?

Solution

volume = Area*Length

as V1 = V2

=> A1L1 = A2*L2

=> A1/A2 = L2/L1 = 2

=> R = rho*L/A

=> R1/R2 = 1/2*1/2 = 1/4

=> R2 = 4*0.019 = 0.076 ohm