Question

The pressure-height relationship in troposphere is given by _______

(a) \(\frac{p}{p_0}\)=[1 + \(\frac{L_0}{T_0}\)H]^\(\frac{-g_0}{RL_0}\)

(b) \(\frac{p}{p_0}\)=[1 + \(\frac{L_0}{T_0}\)H]^\(\frac{-T_0}{RL_0}\)

(c) \(\frac{p}{p_0}\)=[1 + \(\frac{g_0}{T_0}\)H]^\(\frac{-g_0}{RL_0}\)

(d) \(\frac{p}{p_0}\)=[1 + \(\frac{L_0}{g_0}\)H]^\(\frac{-g_0}{RL_0}\)

This question was posed to me in quiz.

The doubt is from Standard Atmospheric Model topic in division Atmosphere and Air Data Measurement of Aircraft Performance

Answer 1

Right choice is (a) \(\frac{p}{p_0}\)=[1 + \(\frac{L_0}{T_0}\)H]^\(\frac{-g_0}{RL_0}\)

Explanation: The pressure-height relationship in troposphere is given by \(\frac{p}{p_0}\)=[1 + \(\frac{L_0}{T_0}\)H]^\(\frac{-g_0}{RL_0}\) , where

p=pressure

p0=datum pressure

L0=lapse rate

T0=datum temperature

g0=acceleration due to gravity

H=height.