A U-tube contains water and oil. The height of the water column is 10 cm, and the height of the oil column is 12 cm. If the density of water is $1000 \, kg/m^3$, what is the density of the oil? (Assume $g = 10 \, m/s^2$)

Which of the following is NOT an application of Pascal's Law?

From a steel wire of density ρ is suspended a brass block of density${\rho _B}$. The extension of steel wire comes to $l$. If the brass block is now fully immersed in a liquid of density ${\rho _L}$, the extension becomes $l'$. The ratio $l/l'$ will be

Two liquids of different densities are poured into a U-tube. Which liquid will rise higher in the tube?

A hydraulic lift works based on the principle of:

The pressure at the bottom of a tank filled with a liquid depends on:

Which of the following is the SI unit of pressure?

A closed container is filled with an incompressible liquid. Three small holes A, B, and C are made at different heights on the side of the container, with A being the highest and C the lowest. Which of the following correctly compares the horizontal velocities ($v_A$, $v_B$, $v_C$) of the liquid streams emerging from the holes?

A hydraulic press has two pistons of areas $A_1$ and $A_2$, where $A_2 = 10A_1$. A force $F$ is applied to the smaller piston ($A_1$). If the fluid is incompressible and frictional losses are negligible, what is the increase in pressure experienced by the larger piston ($A_2$)?

A U-tube is partially filled with a liquid of density $\rho$. A piston of negligible mass and area $A$ is placed on one arm of the U-tube, creating a height difference $h$ between the liquid levels. A second identical piston is then placed on the other arm. What additional force must be applied to the second piston to equalize the liquid levels?

Pressure at a point inside a fluid depends on: