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Question
Select the correct option.
Pressure at a point inside a liquid does not depend on
Options
The depth of the point below the surface of the liquid
The nature of the liquid
The acceleration due to gravity at that point
The shape of the containing vessel
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Solution
The shape of the containing vessel
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Consider a water tank shown in the figure. It has one wall at x = L and can be taken to be very wide in the z direction. When filled with a liquid of surface tension S and density ρ, the liquid surface makes angle θ(θ << 1) with the x-axis at x = L. If y(x) is the height of the surface then the equation for y(x) is:
(take θ(x) = sin θ(x) = tan θ(x) = `dy/dx`, g is the acceleration due to gravity)
