Question

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 1

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.