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

The geopotential height in troposphere is given by __________(a) H=\(\

1.	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» 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.

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