Atmospheric (Thermo)dynamics Consider two atmospheric columns with a surface pressure of 1.018x 105 Pa and a surface temperature of 293 and 283 K, respectively. Both columns have a constant density with height, they do not contain moisture, and their horizontal distance is 1000 km. The value of the Coriolis parameter is f = 10'45'1. 3a. Discuss which two dimensionless numbers can be used to assess whether a ow might. be in a geostrophic balance {a derivation is not needed). 3b. Compute the geostrophic wind speed at a height of 1 km. You may assume that the air density varies linearly in the horizontal directions. 3c. Consider an air parcel in the warm column that is displaced adiabatically from the surface. Compute the temperature of the parcel at a height of 1 km. Discuss whether the stratication of the column is stable or not