Pascal’s Law

An open cubical tank was initially fully filled with water. When the tank was accelerated on a horizontal plane along one of its side it was found that one third of volume of water spilled out. The acceleration was

The area of cross-section of the wider tube shown in figure is $800 {\mathrm{cm}}^2$^​. If a mass of $12 \mathrm{kg}$ is placed on the massless piston, the difference in heights h in the level of water in the two tubes is

A bucket contains water filled upto a height= 15 cm. The bucket is tied to a rope which is passed over a frictionless light pulley and the other end of the rope is tied to a weight of mass which is half of that of the (bucket+water). The water pressure above the atmospheric pressure at the bottom is

An open cubical tank completely filled with water is kept on a horizontal surface. Its acceleration is then slowly increased to $2 \mathrm{m} {\mathrm{s}}^{-2}$ as shown in the figure. The side of the tank is $1\mathrm{m}$. Find the mass of water that would spill out of the tank.

A spherical tank of 1.2 m radius is half filled with oil of relative density 0.8. If the tank is given a horizontal acceleration of 10 m/s². Calculate the maximum pressure on the tank ?

For the system shown in the figure, the cylinder on the left at$L$has a mass of $600 \mathrm{kg}$ and cross-sectional area of $800 {\mathrm{cm}}^2$. The piston on the right, at $S$, has cross-sectional area $25 {\mathrm{cm}}^2$ and negligible weight. If the apparatus is filled with oil$\left(\rho =0.75\mathrm{gm} {\mathrm{cm}}^{-3}\right)$. Find the force $F$required to hold the system in equilibrium

Find the mechanical advantage of the hydraulic lift.

Mechanical advantage of a hydraulic lift is directly proportional to the:

In a hydraulic lift, to increase the mechanical advantage:

Two syringes of different cross-section (without needle) filled with water are connected with a tightly fitted rubber tube filled with water. Diameters of the smaller piston and larger piston are $1\mathrm{ }\mathrm{cm}$ and $3\mathrm{ }\mathrm{cm}$ respectively. If a force of $10\mathrm{ }\mathrm{N}$ is applied to the smaller piston then the force exerted on the larger piston is

To what height should a cylindrical vessel be filled with a homogeneous to make the force with which the liquid pressure on the sides of the vessel equal to the force exerted by the liquid on the bottom of the vessel ?

Which of the following work on the Pascal's principle?

An open cylindrical vessel filled with water is rotated together with water at angular speed $1 \mathrm{rad} {\mathrm{s}}^{-1}$. At this angular speed, the centre of the bottom is just exposed. If the angular speed is increased to $\sqrt{\frac{3}{2}} \mathrm{rad} {\mathrm{s}}^{-1}$, how much area (in ${\mathrm{cm}}^2$) of the bottom of the vessel is now exposed to surrounding? [Area of the cross-section of cylinder is $27 {\mathrm{cm}}^2$]

Figure shows the cross-sectional view of an arrangement in which a light cylinder of radius $r$ and length $\ell$ [perpendicular to the plane of paper] is placed in a container containing liquid of density $\rho .$ Assume liquid is incompressible and non-viscous. The net force to be applied on cylinder to keep it in equilibrium is $\frac{\rho g\ell r^2}{2}\sqrt{1+\frac{{\pi }^2}{\alpha }}.$ Determine the value of $\alpha .$

A soup bowl rests on a table in the dining car of Shatabdi express. If the train is accelerating uniformly at rate of $\frac{g}{4}$ in the forward direction, the angle made by the surface of the soup contained in the bowl with the horizontal is ${\tan }^{-1}\left(x\right)$, then value of $x$ is :

A hydraulic press can lift $100 \mathrm{kg}$ when a mass 'm' is placed on the smaller piston. It can lift $\mathrm{kg}$ when the diameter of the larger piston is increased by $4$ times and that of the smaller piston is decreased by $4$ times keeping the same mass $\text{'}m\text{'}$ on the smaller piston.

Hydraulic brakes works on the principle of

The mechanical advantage of a hydraulic lift is directly proportional to

Hydraulic brakes works on the principle of

The mechanical advantage of a hydraulic lift is directly proportional to