Discussion
Match each relation with what it gives.
List I
A. Hydrostatic equation
B. Hypsometric equation
C. Barometric formula
List II
P. thickness from mean temperature
Q. vertical pressure gradient from density
R. pressure as a function of height
Select the correct match.
Answer: D
The hydrostatic equation is the differential statement, the hypsometric equation is its integral in terms of thickness, and the barometric formula is its integral in terms of pressure against height. All three express the same physical balance in forms suited to different questions, which is why they are best learned together rather than as separate results. Naming the cost of a choice alongside its benefit is what turns a fact into a design decision.
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