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:

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?

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

A piston of cross-sectional area $100 {\mathrm{cm}}^2$ is used in a hydraulic pressure to exert a force of ${10}^7$ dyne on the water. The cross-sectional area of the other piston which supports a truck of mass $2000 \mathrm{kg}$ is

The pressure of the gas in a cylindrical chamber is $p_0$. The vertical force exerted by the gas on its hemispherical end is

A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration towards right. Pressure is

$\left(i\right)$ maximum at, and $\left(ii\right)$ minimum at

A hydraulic lift can lift a maximum load of $3000 \mathrm{kg} \mathrm{wt}$.  The area of cross section of the piston carrying the load is $4.25\times {10}^{-2} {\mathrm{m}}^2$. The maximum pressure the smaller piston would have to bear is

A closed tank filled with water is mounted on a cart. The cart moves with an acceleration $a$ on a plane road. What is the difference in pressure of points $B$ and $A,$ shown in figure?