Pascal's Law

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 air gets drawn towards the open end forcing the low _____ region to move upwards. (pressure/volume)

Write down three applications of Pascal’s law.

In a hydraulic lift, the surface area of the input piston is $10 {\mathrm{cm}}^2$. The surface area of the output piston is $3000 {\mathrm{cm}}^2$. A $100 \mathrm{N}$ force applied to the input piston raises the output piston. Calculate the force required to raise the output piston.

Hydraulic jack is based upon the principle of _____ (Newton's/ Pascal's) law.

Hydraulic press is based upon the principle of _____ law.

The pressure applied on any part of a confined fluid will be transmitted in _____.

A hydraulic automobile lift is designed to lift cars with a maximum mass of 3000 kg. The area of cross-section of the piston carrying the load is 425 cm². What maximum pressure (in bar) would the smaller piston have to bear?

An air bubble of volume $1.0 \mathrm{c}{\mathrm{m}}^3$ rises from the bottom of a lake $40 \mathrm{m}$ deep at a temperature of $12 \mathrm{℃}$. To what volume does it grow when it reaches the surface, which is of a temperature of $35 \mathrm{℃}$?

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

If two bubbles of different radii are connected by a tube, then

Radius of one arm of hydraulic lift is four times of radius of other arm. What force should be applied on narrow arm to lift $100 \mathrm{kg}$?

The neck and bottom of a bottle are $3 \mathrm{cm}$ and $15 \mathrm{cm}$ in radius respectively. If the cork is pressed with a force $12 \mathrm{N}$ in the neck of the bottle, then force exerted on the bottom of the bottle is

A liquid X of density 3.36 g/cm³ is poured in a U-tube, which contains Hg. Another liquid Y is poured in left arm with height 8cm, upper levels of X and Y are same. What is density of Y?