Ncert Exercises & Solutions

Q. 21 (a) Pressure decreases as one ascends the atmosphere. If the density of air is $ρ$ , what is the change in pressure dp over a differential height dh?

(b) Considering the pressure p to be proportional to the density, find the p at a height h if the pressure on the surface of the earth is $p_{o}$ .

(c) If $p_{o} = 1.03 \times 10^{3} {Nm}^{- 2}, ρ_{o} = 1.29 {kgm}^{- 3} and g = 9.8 m / s^{2}$ , at what height will be pressure drop to (1/10) the value at the surface of the earth?

(d) This model of the atmosphere works for relatively small distances. Identify the underlying assumption that limits the model.

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