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Match the following:
| 1. | Hydraulic press | a. | Archimedes |
| 2. | Cartesian Diver | b. | Floatation |
| 3. | Hydrostatic Balance | c. | Pascal’s law |
| 4. | Hydrometer | d. | Buoyancy |
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)
