Qstnid -I-4-suppose The Density Of Air At Madras Is Ρ<sub>o</sub> And Atmospheric Pressure Is P<sub>0</sub>. If We Go Up, The Density And The Pressure Both Decrease. Suppose We Wish To Calculate The Pressure At A Height 10 Km Above Madras. If We Use The Equation P<sub>o</sub> - P = Ρ<sub>o</sub>gz, Will We Get A Pressure More Than The Actual Or Less Than The Actual? Neglect The Variation In G. Does Your Answer Change If You Also Consider The Variation In G? - 13: Fluid Mechanics - Neet-xii-physics

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NEET-XII-Physics

13: Fluid Mechanics

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#4
Suppose the density of air at Madras is ρ_o and atmospheric pressure is P₀. If we go up, the density and the pressure both decrease. Suppose we wish to calculate the pressure at a height 10 km above Madras. If we use the equation P_o - P = ρ_ogz, will we get a pressure more than the actual or less than the actual? Neglect the variation in g. Does your answer change if you also consider the variation in g?
Ans : Using the equation P_o - P = ρ_ogz, we get:
P = P_o - ρ_ogz
The pressure calculated by using this equation will be more than the actual pressure because density at a height of 10 km above Madras will be less than ρ_o.
Yes, the answer will change if we also consider the variation in g. Because g decreases with height, it will have the same effect on pressure as that of density.
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