Two spherical flasks having total volume `V_(0) = 1.0 L` containing air are connected by a tube diameter `d =6` mm and length `lambda = 1` m. A small droplet of mercury contained in the tube is at its middle at `0^(@)C`. By what distance do the mercury droplets move if the flask `1` is heated by `2^(@)C` while flask `2` cooled by `2^(@)C`. Ignore any expansion of flask wall.