The geopotential height of the isothermal lower stratosphere (i.e. at 11km) is given by __________(a) H=11000-\(\frac{RT_{11}}{g_0}\)ln(\(\frac{p}{p_{11}}\))(b) H=11000-\(\frac{RT_{11}}{g_0}\)ln(\(\frac{p_{11}}{p}\))(c) H=11000+\(\frac{RT_{11}}{g_0}\)ln(\(\frac{p}{p_{11}}\))(d) H=11000+\(\frac{RT_{11}}{g_0}\)ln(\(\frac{p_{11}}{p}\))I have been asked this question by my college professor while I was bunking the class.My question is from Measurement of Height topic in division Atmosphere and Air Data Measurement of Aircraft Performance

The geopotential height of the isothermal lower stratosphere (i.e. at

1.	The geopotential height of the isothermal lower stratosphere (i.e. at 11km) is given by __________(a) H=11000-\(\frac{RT_{11}}{g_0}\)ln(\(\frac{p}{p_{11}}\))(b) H=11000-\(\frac{RT_{11}}{g_0}\)ln(\(\frac{p_{11}}{p}\))(c) H=11000+\(\frac{RT_{11}}{g_0}\)ln(\(\frac{p}{p_{11}}\))(d) H=11000+\(\frac{RT_{11}}{g_0}\)ln(\(\frac{p_{11}}{p}\))I have been asked this question by my college professor while I was bunking the class.My question is from Measurement of Height topic in division Atmosphere and Air Data Measurement of Aircraft Performance
Answer» The correct answer is (a) H=11000-\(\FRAC{RT_{11}}{g_0}\)ln(\(\frac{p}{p_{11}}\)) To ELABORATE: The height of the isothermal LOWER STRATOSPHERE is given by H=11000-\(\frac{RT_{11}}{g_0}\)ln(\(\frac{p}{p_{11}}\)) where, H=geopotential height R=characteristic gas constant T11=temperature at 11km P11=pressure at 11km g0=acceleration due to gravity p=pressure.

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