Atmospheric Pressure and Gauge Pressure

The pressure at the bottom of a tank of water is $3\mathrm{P}$ where $\mathrm{P}$ is the atmospheric pressure. If the water is drawn out till the level of water is lowered by one-fifth, the pressure at the bottom of the tank will now be

Hydrostatic Paradox states that the pressure at a given height (depth) of the liquid is depending on the shape of the volume of the liquid.

Hydrostatic paradox deals with the _____ of a liquid at all points of the same horizontal level.

What is meant by hydrostatic paradox?

Deduce an expression for the atmospheric pressure at height $\mathrm{h}$ of the atmosphere.

Calculate the height of the earth's atmosphere.

(The standard atmospheric pressure is $1.013\times {10}^5{\mathrm{Nm}}^{-2} ( \mathrm{Pa})$. The atmosphere has a uniform density $\mathrm{\rho }=1.29 {\mathrm{kgm}}^{-3}$)

What are different units of atmospheric pressure?

_____ is an instrument used to measure the atmospheric pressure.

We use straw to suck soft drinks, why ?

Why the passengers are advised to remove the ink from their pens while going up in an aeroplane?

Assuming that the atmosphere has the same density anywhere as at sea level $\left(\rho =1.3 \mathrm{kg} {\mathrm{m}}^{-3}\right)$ and $g$ to be constant $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$. What should be the approximate height of the atmosphere $\left(p_0=1.01\times {10}^5 \mathrm{N} {\mathrm{m}}^{-2}\right)$

In a barometer, the mercury level is $76 \mathrm{cm}$ at sea level. On a hill of height $3 \mathrm{km},$ if the ratio of density of $\mathrm{Hg}$ to that of air is ${10}^4$, the atmospheric pressure on the hill is

What is a hydrostatic paradox and how it can be resolved? Explain with the help of an example.

Consider three vessels of same base area $\left(A\right)$ filled with a liquid to the same height $\left(h\right)$as shown in the figure. Which of the following statement is not true?

We know that at high altitudes the partial pressure of oxygen is less than that at the ground level. Now what are the consequences of this

Which of the following quantity is measured by a simple barometer?

During blood transfusion the needle is inserted in a vein where the gauge pressure is $2000 \mathrm{Pa}$. At what height (answer to two decimal places) must the blood container be placed so that blood may just enter the vein?

(Answer approximately to two decimal places)

(Use the density of whole blood from table).

Densities of some common fluids at STP

Air separated from the atmosphere by a column of mercury of length $\text{h}=15\text{cm}$ is present in a narrow cylindrical two soldered at one end. When the tube is placed horizontally the air occupies a volume $V_1=240{\text{mm}}^3$ . When it is set vertically with its open end upwards the volume of the air is $V_2=200{\text{mm}}^3$ . The atmospheric pressure during the experiment is $7\text{n}\text{cm}$ of $\mathrm{H}\mathrm{g}$ where $n$ is single digit number. Find $n$.

A tank with a square base of area $2\mathrm{ }{\mathrm{m}}^2$ is divided into two compartments by a vertical partition in the middle. There is a small hinged door of face area $20\mathrm{ }\mathrm{c}{\mathrm{m}}^2$ at the bottom of the partition. Water is filled in one compartment and an acid of density $1.53\times 10\mathrm{ }\mathrm{k}\mathrm{g}\mathrm{ }{\mathrm{m}}^{-3}$ in the other, both to a height of $4\mathrm{ }\mathrm{m}$. The horizontal force necessary to keep the door closed is (Take $g=10\mathrm{ }\mathrm{m}\mathrm{ }{\mathrm{s}}^{-2})$

The force acting on a window of area $50\mathrm{ }\mathrm{c}\mathrm{m}\times 50\mathrm{ }\mathrm{c}\mathrm{m}$ of a submarine at a depth of $2000 \mathrm{m}$ in an ocean, the interior of which is maintained at sea level atmospheric pressure is (Density of sea water = ${10}^3 \mathrm{k}\mathrm{g}\mathrm{ }{\mathrm{m}}^{-3},\mathrm{ }g=10\mathrm{ }\mathrm{m}\mathrm{ }{\mathrm{s}}^{-2}$)