Question

The geopotential height in troposphere is given by __________

(a) H=\(\frac{T_0}{l_0}\)[(\(\frac{p}{p_0}\))^\(\frac{-L_0R}{g_0}\)+1]

(b) H=\(\frac{T_0}{l_0}\)[(\(\frac{p}{p_0}\))^\(\frac{L_0R}{g_0}\)-1]

(c) H=\(\frac{T_0}{l_0}\)[(\(\frac{p}{p_0}\))^\(\frac{-L_0R}{g_0}\)-1]

(d) H=\(\frac{T_0}{l_0}\)[(\(\frac{p}{p_0}\))^\(\frac{L_0R}{g_0}\)+1]

This question was addressed to me during an online interview.

My query is from Measurement of Height in division Atmosphere and Air Data Measurement of Aircraft Performance

Answer 1

The correct option is (c) H=\(\frac{T_0}{l_0}\)[(\(\frac{p}{p_0}\))^\(\frac{-L_0R}{g_0}\)-1]

For explanation I would say: The geopotential height in troposphere is given by H=\(\frac{T_0}{l_0}\)[(\(\frac{p}{p_0}\))^\(\frac{-L_0R}{g_0}\)-1] where

H=geopotential height

R=characteristic gas constant

T0=temperature at 11km

P0=pressure at 11km

g0=acceleration due to gravity

p=pressure

L0=lapse rate.