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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»

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.



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