Discussion
Which profile does pressure follow in an isothermal atmosphere?
Answer: A
Integrating the hydrostatic equation with constant temperature gives pressure proportional to the exponential of minus height over scale height. Real atmospheres are not isothermal but the exponential form is an excellent first approximation over a few kilometres. A linear decrease would be correct only for constant density, which the atmosphere emphatically is not. Most errors here come from carrying a result across from a neighbouring case where it does not hold.
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