The density of liquid remains unchanged at various position . now,if the pressure at half depth is 3/5 times the pressure at its bottom then the depth of the lake
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Depth = d
Atmospheric Pressure = P₀ = 10⁵ Pa
Density of water at 4°C (ρ) = 10³ kg/m³
Pressure at half of depth
P = P₀ + (d/2)ρg
P = P₀ + 0.5dρg
Pressure at the bottom of lake
P’ = P₀ + dρg
Given that P = 3P’/5
P₀ + 0.5dρg = 3(P₀ + dρg)/5
P₀ + 0.5dg = 3P₀/5 + 3dρg/5
Apply values and by calculation You get value of "d".
Practice Calculation URSELF.
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