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JEE PHYSICS MCQ: MECHANICAL PROPERTIES OF FLUIDS

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Application +4 | -1
The density (ρ)(\rho) of atmospheric air varies with height (h)(h) above the ground according to the relation ρ=ρoe−λh\rho=\rho_o e^{-\lambda h} where λ\lambda is a constant. At what height above the ground is the pressure half its value on the surface?
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Correct option: C
ln⁡2λ\frac{\ln 2}{\lambda}
Option C (ln⁡2λ\frac{{\ln 2}}{{\lambda}}) is correct because it is derived from the given density relation and the pressure-density relationship.

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