Answer :

(a) As we go up in the atmosphere, pressure decreases.


Consider a layer of atmosphere at height h and area A.


Let the pressure at h be p + dp.


Let the pressure at h + dh be p.



This layer is in equilibrium and hence, upward and downward forces are balanced.


Pressure × Area = Force = ma =




Negative sign indicates that pressure decreases with height.


(b) Here,


Hence,






Integrating on both sides,





(c)




(d) We can assume only under isothermal conditions which is valid near the surface of the earth and not at great heights.


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